Answer:
slope = [tex]\frac{8}{5}[/tex], y-intercept = - 3
Step-by-step explanation:
to calculate the slope m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (5,5) ← 2 points on the line
m = [tex]\frac{5+3}{5-0}[/tex] = [tex]\frac{8}{5}[/tex]
the y-intercept is the point where the line crosses the y-axis
that is (0, - 3) ⇒ y-intercept = - 3
