Respuesta :

Using the formula m=rise/run or y2-y1/x2-x1

Grab two random coordinates (1,5) and (4,9)

Plug those 2 coordinates into the formula

9-5/4-1

4/3

4/3 is the slope

Answer:

slope = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = [tex]\frac{4-0}{0-(-3)}[/tex] = [tex]\frac{4}{0+3}[/tex] = [tex]\frac{4}{3}[/tex]