Convert the following equations from point-slope form to slope-intercept form.

9) y – 4 = 3(x – 1)

10) y – 1 = -4(x – (-3))

Answers

Answer 1
Answer:

We need to solve both for y.

#9:

[tex]y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1[/tex]

#10:

[tex]y - 1 = -4[x - (-3)]\\\\y - 1 = -4(x + 3)\\\\y - 1 = -4x - 12\\\\y = -4x - 11[/tex]


Related Questions

Which is the BEST estimate of the average rate of change for the function graphed, over the interval 1 sxs 3?
es)
A)
-2
B)
-3
D)
-6

Answers

Answer: -3

Step-by-step explanation: just multiply

The best estimate of the average rate of change for the function graphed over the interval 1 ≤ x ≤ 3 is 3.

What is Average Rate of Change of a Function?

Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.

The interval given is 1 ≤ x ≤ 3.

The graph of the function is given below.

It can be clearly seen that,

The y value corresponding to x = 1 is y = f(1) = 2.

So one point on the graph is (1, 2).

The y value corresponding to x = 3 is y = f(3) = 8.

So the other point on the graph is (3, 8).

Average rate of change over 1 ≤ x ≤ 3 = [f(3) - f(1)] / [3 - 1]

                                                               = [8 - 2] / [2]

                                                               = 6/2

                                                               = 3

Hence the best estimate for the average rate of change of function over the interval 1 ≤ x ≤ 3 is 3.

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Someone please Help??

Answers

35/3 SORRY IF IM WRONG

Please help as well:
Solve for X

Answers

Answer:

If equal to 90 x is 4

Step-by-step explanation:

19 is 4 with the X and that ur answer

PLEASE HELPP!! (10 points)

Answers

Answer:

D.0.58

Step-by-step explanation:

Answer:

The answer is the 4th option: 0.58

Step-by-step explanation:

Absolute value is how far away that number is from the numberline.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Solve -2a - 5>3
Which graph shows the solutions?

Answers

-4>3

Step-by-step explanation:

Answer:

First line

Step-by-step explanation:

Isolating 2a is the first step, so adding 5 to each side. That leaves -2a > 8. Divide both sides by -2, and because it's a negative, you flip the sign. so you get a < -4

nce a year, a store offers a free frozen yogurt to its customers. Each customer can cl he flavor of frozen yogurt and one topping. There are 8 possible ways to order the fro gurt. How many flavors and toppings could the customers choose from? 4 flavors and 3 toppings 2 flavors and 4 toppings 2 flavors and 2 toppings 4 flavors and 4 toppings​

Answers

the answer would be i think they sre able to get 2 flavors

find the value of y
a= 23
b= 46
c= 170
d= 85

Answers

Answer:

write in algorithm and draw a flowchart to calculate the factorial of a number (N). verify your results by a trace table by assuming N=5

math question trignometry

Answers

Answer:

the answer is none of these

Step-by-step explanation:

what is the monomial if a square of a monomial is 1/4a^2n

Answers

Answer:

Answer:

Answer:

1/2a^n

Step-by-step explanation:

Square of the monomial is  

To get the monomial we take square root

Lets take square root for each term

because square root of 4 is 2

2/2 is 1 so, its a^n

Required monomial is  

1/2a^n

Step-by-step explanation:

Answer:

(1/2a^n)^2

Step-by-step explanation:

How many gallons of water will a rectangular tank hold if the base is a square that is 8 feet 10 inches on one side and the tank is 10 feet 3 inches high? Round to the nearest tenth.

Answers

Answer:

reeeeee

Step-by-step explanation:

eeeeeeeeeeee

HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP! what x-45 divided by 17 if x=98?

Answers

Answer:

98-45/17=3.11

Step-by-step explanation:

Thanks for the points

Please help I’ll give you brainliest
Jim's timecard is below. For each day figure out the total hours he
worked (a-e), and find the total number of hours he worked for the week. Please help
TOTAL
OUT
4:30
5:00
a.
b.
Monday
Tuesday
Wednesday
Thursday
Friday
IN
8:30
8:30
8:30
8:00
8:30
OUT
11:30
12:30
11:30
12:00
11:30
IN
12:30
1:00
12:00
12:30
12:30
C.
d.
6:00
6:30
7:30
Total
e.
f.

Answers

Answer:

a. 7

b 8

c 9

d 10

e 10

f 44

Step-by-step explanation:

please help if u dont know how to answer then please dont answer

Answers

Answer:

table is x    y

            1     30 that is all you need to solve the whole thing I have to go to the movies

Step-by-step explanation:

Find p(4) p(x) = 3x - 9

Answers

Answer:

p(4)=3

Step-by-step explanation:

p(4)=3(4)-9=12-9=3

Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Cindy?

Answers

Answer:

70

Step-by-step explanation:

It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70

Hope this helped!

The length of a rectangle is 5 less than 3 times its width. The perimeter is
78. Find the LENGTH.*

Answers

Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)

Pls help I don’t under stand and I’ve been on this question for 2 hours

Answers

Answer:

Lumberrum2 [tex]x^{2} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi \alpha \frac{x}{y}[/tex]

Step-by-step explanation:

Answer:

x = 20

p = 144

y = 144

Step-by-step explanation:

Vertically opposite angles are equal.

2x - 4 = 96 - 3x

2x + 3x -4 = 96

    5x - 4 = 96

         5x = 96+4

         5x = 100

           x = 100/5

           x = 20

2x - 4 = 2*20 - 4 = 80 - 4

         = 36

p + (2x - 4) = 180  {linear pair}

p + 36 = 180

        p = 180 - 36

        p = 144

y =  p        {vertically opposite angles}

y = 144

HELP ILL GIVE BRAINLIEST AND POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent

1. from 60 to 48

2. from 180 to 108

3. from 64 to 24

4. from 6.5 to 4.8

5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.

Answers

Answer:

Hey, ill do like 2 and you can do the rest

percent decrease or change is

new-old over old

So like #1

1) 60 is old, 48 is new

so 48-60=-12

now over old which is 60

-12/60

-1/5

20 percent decrease

2) 180 is old, 108 is new

108-180=-72

-72/180

40 percent decrease

Step-by-step explanation:

i will give many points and brainlest if you find the area of the polygon

Answers

Answer:

28

Step-by-step explanation:

You can split the figure up

3*4/2 = 6

3*4/2 = 6

8*2 = 16

6+6+16 = 28

Write the equation of the line that passes through the points (7,4) and (-1, 3), first in point-slope form, and then in
slope-intercept form.
The slope of the line is
When the point (7,-4) is used, the point-slope form of the line is
The slope-intercept form of the line is

Answers

Answer:

y = 1/8x + 25/8

Step-by-step explanation:

one bucket of gravel has a mass of 7.05 kg. what is the mass of 20 buckets of gravel in kilograms?

Answers

The weight of 20 buckets is 141 Kg.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

weight of 1 bucket of gravel = 7.05

weight of 20 buckets = 7.05 x 20

                                    = 141 Kg

Hence, the weight of 20 buckets is 141 Kg.

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What is the inverse operation of 2/3x=6

Answers

2 3 x - 6

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3x2+9 f - 1 ( x ) = 3 x 2 + 9 is the inverse of f(x)=23x−6 f ( x ) = 2 3 x - 6

pls brain

NEED HELP!! what are the coordinates of point j?

Answers

Answer:

(7,4)

Step-by-step explanation:

What is the y-intercept of the graph?

Answers

Answer:

4

Step-by-step explanation:

What is the y-intercept of the graph?
The y-intercept is 2

can i get some help

Answers

Answer:x = -0.1290322581

Step-by-step explanation:

Simplifying

9x + -4(1 + 10x) = 0

9x + (1 * -4 + 10x * -4) = 0

9x + (-4 + -40x) = 0

Reorder the terms:

-4 + 9x + -40x = 0

Combine like terms: 9x + -40x = -31x

-4 + -31x = 0

Solving

-4 + -31x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + -31x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -31x = 0 + 4

-31x = 0 + 4

Combine like terms: 0 + 4 = 4

-31x = 4

Divide each side by '-31'.

x = -0.1290322581

Simplifying

Solve for x: 3 - (2x - 5) <-4(x + 2)

Answers

Answer:

x < -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3 - (2x - 5) < -4(x + 2)

Step 2: Solve for x

Distribute:                         3 - 2x + 5 < -4x - 8Combine like terms:         -2x + 8 < -4x - 8Add 4x on both sides:     2x + 8 < -8Isolate x term:                  2x < -16Isolate x:                           x < -8

Here we see that any value x smaller than -8 would work as a solution in the inequality.

A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relationship between the amount of oil and the amount of vinegar needed to make salad dressing according to this recipe. The point ( 1, 1.5) is on the line.
a. Label the axes appropriately with the quantities they represent.
· b. Write an equation that represents the proportional relationship between oil and vinegar. Indicate the meaning of each variable.
Equation: ​ ___________________________________________________________ ·c. Explain the meaning of the point (1, 1.5) in terms of the situation.
​Explanation:​ __________________________________________________________


What's B and C?? Please help.

Answers

a.(answer):

Y represents table spoons in oil and the X represents the table spoons in vinegar.

b.(answer):

oil needed is one(1) tablespoon the amount of vinegar used is 1.5 tablespoons to make the salad dressing the correct and for it to be proportional.

linear equation

y = 3/2x

c.(answer)

For every 1 tablespoon of vinegar there is 1.5 table spoons of oil X=1,Y=1.5.

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find the slope from the graph. (3,-1) (0,-3)

Answers

I found the slope for these numbers

Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.

The line perpendicular to y =
5
3
x + 8 that passes through (5, −1).

The equation of the line that passes through (5, −1) is y = .

Answers

Answer:

25

Step-by-step explanation: this is because you have a negative

On a number line what number represents the point half the distance between A and B?

Answers

Answer:

A: -4

Step-by-step explanation:

Math.

Answer:

A. -4

Step-by-step explanation:

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