Answer:
t = 9
Step-by-step explanation:
Calculate the slope between the 2 points using the slope formula then equate to 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, t ) and (x₂, y₂ ) = (2, 1 )
m = [tex]\frac{1-t}{2-4}[/tex] = [tex]\frac{1-t}{-2}[/tex] = 4 ( multiply both sides by - 2 )
1 - t = - 8 ( subtract 1 from both sides )
- t = - 9 ( multiply both sides by - 1 )
t = 9
