Answer:
y = 3x + 7
Step-by-step explanation:
First, we will solve for the slope (m).
The formula for slope is: m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
m = [tex]\frac{-17 - -20}{-8 - -9}[/tex] --- enter the points into the formula
m = [tex]\frac{3}{1}[/tex] --- simplify
m = 3 --- simplify
Now we will solve for the y-intercept (b).
y = mx + b
y = 3x + b --- substitute the slope into the equation
-20 = 3(-9) + b --- substitute the x and y of either point into the equation
-20 = -27 + b --- simplify
7 = b --- add 27 to both sides
b = 7
Done.
y = 3x + 7
