Answer:
y = 6x - 17
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 ) = (4, 7 ) and (x₂, y₂ ) = (2, - 5 )
m = [tex]\frac{-5-7}{2-4}[/tex] = [tex]\frac{-12}{-2}[/tex] = 6 , then
y = 6x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (4, 7 )
7 = 24 + c ⇒ c = 7 - 24 = - 17
y = 6x - 17 ← equation of line
