y - 3x - 3
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (- 2, 3 ) ← 2 points on the line
m = [tex]\frac{3-0}{-2+1}[/tex] = [tex]\frac{3}{-1}[/tex] = - 3
The y-intercept = (0, - 3 ) ⇒ c = - 3
y = - 3x - 3 ← in slope-intercept form
