Answer:
Slope: -1
y-intercept: 6
Step-by-step explanation:
Lets figure out the slope with the formula,
. Take 2 coordinates and substitute them in. Lets take (-3,9) and (-1,7). Here are the steps:
![\frac{7-9}{-1-(-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B7-9%7D%7B-1-%28-3%29%7D)
![\frac{-2}{-1+3}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B-1%2B3%7D)
![\frac{-2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B2%7D)
![-1](https://tex.z-dn.net/?f=-1)
Now we know that the slope is -1, so m = -1.
Lets figure out the y-intercept. We have to have an equation with the slope in it. Since we don't know the y-intercept yet, we will use the equation y = -x + b. Lets take the coordinate (5,1). Substitute the coordinates in. Here are the steps:
1 = -5 + b
b = 6
Now we know that the y-intercept is 6, so b = 6. I hope this helped!