Question

A line includes the points (-1,-4) and

(-3, 8). What is its equation in slope-
intercept form?

Answer 1

y = -6x - 10

Explanation:

(-1, -4), (-3, 8)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 8 - (-4) 8 + 4 12

m = ------------ = -------------- = ------------ = ------- = -6

x₂ - x₁ -3 - (-1) -3 + 1 -2

y - y₁ = m(x - x₁)

y - (-4) = -6(x - (-1))

y + 4 = -6(x + 1)

y + 4 = -6x - 6

-4 -4

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

y = -6x - 10

I hope this helps!

Answer 2

Answer:y=-6x-10

Explanation:

The slope intercept form is y=mx+b

m=slope

b=y intercept

we can find the slope using the slope formula y2-y1/x2-x1

8-(-4)/-3-(-1)

12/-2

m=-6

substitute in the slope, and one of the points so solve for b

y=-6x+b

-4=-6(-1)+b

-4=6+b

b=-10

y=-6x-10