Answer:
y = - 6x + 20
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 10 ) and (x₂, y₂ ) = (2, 8 )
m = [tex]\frac{8-(-10)}{2-5}[/tex] = [tex]\frac{8+10}{-3}[/tex] = [tex]\frac{18}{-3}[/tex] = - 6 , then
y = - 6x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (2, 8 ) , then
8 = - 12 + c ⇒ c = 8 + 12 = 20
y = - 6x + 20 ← equation of line
