Answer:
y=4/5x-18/5
Step-by-step explanation:
there are multiple ways we can find the slope, let's use two points and the point slope form y=mx+b for this equation. we can find the slope by using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
in this case, we can use the two points (-3,-6), (2,-2)
y2=-2, y1=-6, x2=2, x1=-3
so, the equation is [tex]\frac{-2-(-6)}{2-(-3)}[/tex]
this reduces to 4/5
our slope is 4/5, so the equation for now is y=4/5x+b
let's use (2,-2) to find b. the y is -2, x is 2
-2=4/5(2)+b
-2=8/5+b, multiply both sides by 5:
-10=8+5b, subtract 8 from both sides
-18=5b, divide by 5
-18/5=b
our final equation is y=4/5x-18/5
