Which of the following is a point-slope equation of a line that passes through
the points (5,2) and (-1,-6)?
O A. y-2-(X-5)
O B. y-2--x-5)
O C. y-2--|(x-5
OD. y-2-(x-5)

To find the equation in point-slope of a line passing through two points, we can use the formula: [tex]y - y₁ = m(x - x₁)[/tex] Where (x₁, y₁) are the coordinates of one point, m is the slope of the line, and (x, y) are the coordinates of any other point on the line and  [tex]y-2-(x-5)[/tex] Therefore the correct option is D.

Given that the two points are (5,2) and (-1,-6), we can substitute these values into the formula: [tex]y - 2 = m(x - 5)[/tex](using point 1: ([tex]5,2)) y + 6 = m(x + 1[/tex]) (using point 2: (-1,-6)) Now, let's simplify the equation: y = mx - 5m + 2 (equation 1) y = mx + m - 6 (equation 2) From equations 1 and 2, we can determine that the expected point-slope equation will have the form y - 2 = m(x - 5),

which matches option D. Therefore, the correct point-slope equation of the line passing through the points (5,2) and (-1,-6) is: y - 2 = m(x - 5)

Hence the correct option is D

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The HCF of two numbers is 20. The LCM of both numbers is a multiple of 14. One number is greater than the other, work out the smallest possible numbers

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She asked her students which expression would result in a product greater than 7.

Enter the number of the expression that Mrs. Matthews's students should have chosen.
Expression
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A5:45 pm
c5:55 pm
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Solve for x in the diagram shown.
A) 2.67
B) 4.5
C)5.625
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What is the domain and range of the following ordered pairs: {(-6, -7), (-1, 1), (0,
9), (3,-2)}? *
Wh
Domain: {-6, -1,0, 3} Range: (-6, -1, 0, 3}
Domain: {-7,1,9, -2} Range: {-7,1,9,-2}
Domain: {-7,1, 9, -2} Range: (-6,-1, 0,3}
Domain: {-6,-1, 0,3} Range: {-7, 1, 9, -2}

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slope of -3,-2 and -1,-5

The equation y - 3x - 5 = 0 when written in slope-intercept form is:
y = 3x - 5.
y=-3x + 5.
O y = 3x + 5.

Find the x-intercept and y-intercept of the line given by the equation below. Then graph the line.
x + y = 2
X-intercept:
y-intercept:

What is -23/6 - 7/3
A-37/6
B-30/9
C-16/6
D37/6​

PLZ HELP
Do the ones you know!

Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).


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x =

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Please Help! Will mark brainliest!
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A nontoxic floor wax can be made from lemon juice and food grade linseed oil. The amount of oil should be twice the amount of lemon juice. How much of each ingredient is needed to make 42 ounces of floor wax?
Let x represent the number of ounces of lemon juice and y the number of ounces of linseed oil.
Complete the system of equations
x+y=