Write an equation of a line that has a y-intercept of 5 and passes through the point (-4,4)
I need Help please

Answers

Answer 1

Answer:

[tex]\huge\boxed{y= \frac{1}{4}x+5}[/tex]

Step-by-step explanation:

In order to find the equation to this line, we have to note that with an incomplete equation, we can substitute in a point on the graph to find an unknown value.

The equation of a line is most commonly written in slope-intercept form, making it [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

We know the y-intercept, which is 5, so our equation is currently [tex]y=mx+5[/tex].

We also know that the point (-4, 4) lies on this line. Therefore, we can plug it into our formula.

[tex]4 = -4m + 5[/tex] [tex]-1= -4m[/tex] [tex]m = \frac{1}{4}[/tex]

This means that the slope of our line is [tex]\frac{1}{4}[/tex]. Plugging that into our equation as m makes the final equation

[tex]y = \frac{1}{4}x + 5[/tex].

Hope this helped!


Related Questions

The blue segment below is a radius of 0. What is the length of the diameter
of the circle?

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B, the answer is 21.2

Which equation represents a line parallel to the line shown on the graph?

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Step-by-step explanation:

b

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the answer is 9 because 8-3=6

Answer:

it is 6

Step-by-step explanation:

its a reverse diamond

3 fifths equals how many 20

Answers

Answer:

12

Step-by-step explanation:

20/5 = 4

4 x 3= 12

3/5 of 20 is 12.

This is because 3/5*20/1=60/5 which reduces to 12.

In the diagram below, what is the approximate length of the minor arc ?
X
O A. 5.7 cm
40"
9 cm
O B. 7.1 cm
N
O C. 6.3 cm
D. 3.1 cm

Answers

Answer: c. 6.3

Step-by-step explanation:

Identify the interval(s) on which the function y = 2x^2 - 8x - 10 is positive.
A. -1 B. x < -1 and x > 5
C. -5 D. X<-5 and x > 1

Answers

Given:

[tex]y=2x^2-8x-10[/tex]

To find:

The interval(s) on which the given function is positive.

Solution:

We have,

[tex]y=2x^2-8x-10[/tex]

[tex]y=2(x^2-4x-5)[/tex]

[tex]y=2(x^2-5x+x-5)[/tex]

[tex]y=2(x(x-5)+1(x-5))[/tex]

[tex]y=2(x+1)(x-5)[/tex]

For zeroes, [tex]y=0[/tex]

[tex]2(x+1)(x-5)=0[/tex]

[tex]x=-1,x=5[/tex]

-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].

Interval        Selected Value      [tex]y=2(x+1)(x-5)[/tex]                      Sign

[tex](-\infty,-1)[/tex]                -2                  [tex]y=2(-2+1)(-2-5)=14[/tex]           +

[tex](-1,5)[/tex]                     0                   [tex]y=2(0+1)(0-5)=-10[/tex]              -

[tex](5,\infty)[/tex]                       6                  [tex]y=2(6+1)(6-5)=14[/tex]                 +

So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].

We can say that the function is positive for interval x < -1 and x > 5.

Therefore, the correct option is B.

Find the arc length of the semicircle. 8

Answers

Answer:

π×8² =

201.0619298297

arc length formular = π ×r²

Indira is using a number line to add Negative 1 + (negative 3). She begins by showing –1 on the number line, as shown below.

A number line going from negative 5 to positive 5. The area between negative 1 and 0 is highlighted.

What is the sum of Negative 1 + (negative 3)?
–4
–3
2
3

Answers

Answer= -4

-1+-3=-4

Step by step-
Add like normal then add the sign since both numbers are negative.
3+1= 4 then add the sign

Answer:

-4

Step-by-step explanation:

The graph y = 1/2x^2 - x - 4 is shown below. State the coordinate of the zero(s):

Answers

Answer:

Zeros → (-2, 0) and (4, 0)

Step-by-step explanation:

Equation of the graph has been given as,

y = [tex]\frac{1}{2}x^{2} -x-4[/tex]

For zeros of the function,

y = 0

Therefore, [tex]\frac{1}{2}x^{2} -x-4=0[/tex]

By solving the equation algebraically,

x² - 2x - 8 = 0

x² - 4x + 2x - 8 = 0

x(x - 4) + 2(x - 4) = 0

(x + 2)(x - 4) = 0

x = -2, 4

Therefore, coordinates of the zeros will be (-2, 0) and (4, 0).

Let's confirm the zeros (x-intercepts) from the graph attached,

Coordinates of the x-intercepts are,

(-2, 0) and (4, 0)

please help homework. ignore the green that's just pre algebra above ​

Answers

(6x + 5) - (8x - 3) would be the expression but then simplify it.

When it's simplified you get -2x + 8

Therefore the answer will be -2x + 8.

Kim rols three 6 sided dice.
The product of her numbers is 60
a) What numbers could she have rolled?

Answers

Answer:

2,5,6

Step-by-step explanation:

2 * 5 * 6 = 60

Kim rolls three 6 sided dice.  The product of her numbers is 60. So, the numbers are 2, 5, and 6 and this can be determined by using arithmetic operations.

Given :

Kim rolls three 6 sided dice.The product of her numbers is 60.

The following steps can be used to determine the number could Kim has rolled:

Step 1 - Let the three numbers be a,b, and c.

Step 2 - Given that the product of these numbers is 60.

[tex]a\times b \times c = 60[/tex]

Step 3 - So, the possible values of a, b, and c are:

a = 2

b = 5

c = 6

Step 4 - Check the product of a, b, and c if it is 60 then it is correct.

[tex]2\times 5\times 6 = 60[/tex]

For more information, refer to the link given below:

https://brainly.com/question/13101306

What is the slope of the line that passes through
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Will give brainliest pls answer immediately!

Answers

Answer:

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Answer:

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Answer:

I am sorry, I am only in middle school... I am learning about like the questions I have been asking

Step-by-step explanation:

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A=
B=
Blank 1:
Blank2:

Answers

Answer:

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Step-by-step explanation:

In a parallelogram opposite sides are equal/congruent.

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1st equation:

3a-4=a+2

-a       -a

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2nd equation:

b+1=2b

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Answers

Answer:

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Step-by-step explanation:


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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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The answer to this question is Yes, No, Yes, No

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Answer:

1.3 repeated is the answer

Answer:

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Step-by-step explanation:

It’s a web browser made for this stuff, you‘re welcome

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

The copper percentage = 64%

Step-by-step explanation:

Given

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