Respuesta :

Answer:

The y-intercept of the line would be (C) 8

Step-by-step explanation:

The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.

We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, [tex](7) = \frac{1}{3}( -3) + b[/tex].

Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.