Answer:
y = 3
Step-by-step explanation:
Calculate the slope between the 2 points using the slope formula, then equate to - 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (12, - 12 ) and (x₂, y₂ ) = (7, y )
m = [tex]\frac{y-(-12)}{7-12}[/tex] = [tex]\frac{y+12}{-5}[/tex] = - 3 ( multiply both sides by - 5 )
y + 12 = 15 ( subtract 12 from both sides )
y = 3
