Write an equation for the coordinates (-1,2) and (1,-4) in slope intercept form

Answer 1

Hello Stephanie,

I am first going to find the slope, and then the y-intercept.

i) To find the slope, use m = (y₂ - y₁) / (x₂ - x₁)

→ m = (-4 - 2) / (1 - [-1])

→ m = -6 / 2

→ m = -3

ii) Now, using either of the given points with the slope intercept form, y = mx + b, solve for b.

I am going to use (1, -4)

→ -4 = -3(1) + b

→ b = -1

→ y = -3x + (-1)

→ y = -3x -1.

I hope the above helps, and thank you for posting the question.

Michael Ehlers