Respuesta :

Answer:  y = 5x + 13

Step-by-step explanation:

Parallel means it has the same slope.  

Given line y = 5x + 5  --> the slope is 5, so parallel slope is 5

Use the Point-Slope formula: y - y₁ = m(x - x₁)  such that

  • m = 5
  • (x₁, y₁) = (-3, -2)

y + 2 = 5(x + 3)          input m and (x₁, y₁) into the Point-Slope formula

y + 2 = 5x + 15          distributed

     y = 5x + 13          subtracted 2 from both sides