Answer:
y = 7
Step-by-step explanation:
calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 5, 10) and (x₂, y₂ ) = (3, y)
m = [tex]\frac{y-10}{3+5}[/tex] = [tex]\frac{y-10}{8}[/tex]
For this to equal - [tex]\frac{3}{8}[/tex]
since the denominators are equal, equate the numerators
y - 10 = - 3 ( add 10 to both sides )
y = 7
