Answer:
z = - 170
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 19
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 1) and (x₂, y₂ ) = (- 6, z)
m = [tex]\frac{z-1}{-6-3}[/tex] = [tex]\frac{z-1}{-9}[/tex] = 19 ( multiply both sides by - 9 )
z- 1 = - 171 ( add 1 to both sides )
z = - 170
