Answer: D
Step-by-step explanation:
To find the equation, we will find the slope and y-intercept. To find the slope, you would use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
[tex]m=\frac{\--1-5}{5-3} =\frac{-6}{2} =-3[/tex]
Now that we have found our slope, we can plug m into the slope-intercept form and solve for b, y-intercept.
y=mx+b
y=-3x+b
Solve for b, y-intercept. We can plug in any pair given to find b.
5=-3(3)+b
5=-9+b
14=b
We have our m and b, our final equation is y=-3x+14.
