Answer:
y = 2x - 8
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, - 2) and (x₂, y₂ ) = (6, 4)
m = [tex]\frac{4+2}{6-3}[/tex] = [tex]\frac{6}{3}[/tex] = 2, then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (6, 4 ), then
4 = 12 + c ⇒ c = 4 - 12 = - 8
y = 2x - 8 ← equation of line
