Hey there! :)
Answer:
y = -3x + 8.
Step-by-step explanation:
Use the slope formula to solve for the slope:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the coordinates:
[tex]m = \frac{-16-5}{8 - 1}[/tex]
Simplify:
[tex]m = \frac{-21}{7}[/tex]
m = -3.
Plug in the x and y value, along with the slope into the slope-intercept formula (y = mx + b) to solve for b:
5 = -3(1) + b
5 = -3 + b
b = 8.
Rewrite the equation:
y = -3x + 8.
