Answer:
y = [tex]\frac{3}{2}[/tex] x + 3
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 )
to calculate m use the gradient formula
y = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 3)
m = [tex]\frac{3-0}{0+2}[/tex] = [tex]\frac{3}{2}[/tex]
the line crosses the y-axis at (0, 3) ⇒ c = 3
y = [tex]\frac{3}{2}[/tex] x + 3
