Answer:
see explanation
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (8, 10) and (x₂, y₂ ) = (- 4, 2)
m = [tex]\frac{2-10}{-4-8}[/tex] = [tex]\frac{-8}{-12}[/tex] = [tex]\frac{2}{3}[/tex]
Using either of the 2 points as point on the line
using (8, 10 ), then
y - 10 = [tex]\frac{2}{3}[/tex](x - 8) ← in point- slope form
