Question

Write an equation in standard form for the line that passes through the given points.

(−4, 9), (2,−9)

Answer 1

So first you want to find the slope of the line: y2-y1/x2-x1

-9-9/2-(-4)

-18/6

-3

So standard form is y=Mx+b where m is the slope and b is the y-intercept
So m=-3 and b is any of the y values above

Therefore the answer is y=-3x+9

Answer 2

3x + y = -3

Explanation:

(-4, 9), (2, -9)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ -9 - 9 -18 -18

m = ----------- = ----------- = ---------- = ------- = -3

x₂ - x₁ 2 - (-4) 2 + 4 6

y - y₁ = m(x - x₁)

y - 9 = -3(x - (-4)

y - 9 = -3(x + 4)

y - 9 = -3x - 12

+9 +9

---------------------

y = -3x - 3

Standard Form:

-3x + y = -3

I hope this helps!