Answer:
y = - 3x + 13
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 ) = (3, 4 ) and (x₂, y₂ ) = (5, - 2 )
m = [tex]\frac{-2-4}{5-3}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (3, 4 )
4 = - 9 + c ⇒ c = 4 + 9 = 13
y = - 3x + 13 ← equation of line
