what is the slope intercept form (-1,6),(7,-10)

Question

slope intercept form

Answer 1

Let's start by finding the slope: m = (y₂ - y₁) / (x₂ - x₁)

(-10 - 6) / (7 - (-1)) = -16/8 → -2

 

Now we can use the point-slope format to get our y-intercept, but we already have a point right by it: (-1, 6). This means we move one unit to the right, and since the slope is -2, we just subtract 2 from 6, meaning it crosses at (0, 4).

 

Now that we have our y-intercept, we can complete the formula:

y = -2 + 4

Answer 2

y=4-2x

First, find the slope. Then, apply it to the first point to find the y-value at x=0.