Answer:
Slope: -1
y-intercept: 6
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:
![(7-9)/(-1-(-3))](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wfp7bnajkbolbo92x7r62v3ue3ycvi70w9.png)
![(-2)/(-1+3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/eqn52z7fcwrrr8jssv10vv7olr32u777gr.png)
![(-2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lq68ecgc0hf4m4hkd355rj7o65mtc3fqyh.png)
![-1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vb6w1oxgul00d9nzcs8z6r6uzxlozri2zv.png)
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!