Answer:
y = 2x + 7
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, 1) and (x₂, y₂ ) = (- 2, 3)
m = [tex]\frac{3-1}{-2+3}[/tex] = [tex]\frac{2}{1}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (- 3, 1 ) into the partial equation
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = 2x + 7 ← equation of line
