Answer:
y = 2x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)
m = [tex]\frac{9+3}{0+6}[/tex] = [tex]\frac{12}{6}[/tex] = 2
The line crosses the y- axis at (0, 9) ⇒ b = 9
y = 2x + 9 ← equation of line
