Answer:
a = - 2
Step-by-step explanation:
calculate the slope of the 2 given points and equate to 0.75
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, a ) and (x₂, y₂ ) = (8, 1 )
m = [tex]\frac{1-a}{8-4}[/tex] = [tex]\frac{1-a}{4}[/tex]
then equating
[tex]\frac{1-a}{4}[/tex] = 0.75 ( multiply both sides by 4 to clear the fraction )
1 - a = 3 ( subtract 1 from both sides )
- a = 2 ( multiply both sides by - 1 )
a = - 2
