Answer:
[tex]y=6x-10[/tex]
Step-by-step explanation:
First, we can find the slope using the two given points.
[tex]m=\frac{y2-y1}{x2-x1}=\frac{-22-8}{-2-3}=\frac{-30}{-5}=6[/tex]
Then, we can use the slope we just found and one of the given points to find the y-intercept.
[tex]y=mx+b\\y=6x+b\\8=6(3)+b\\8=18+b\\b=-10[/tex]
And we can put our equation together.
[tex]y=6x-10[/tex]
Hope this helps!