Question

The graph of f passes through left parenthesis negative 4 comma 3 right parenthesis(−4,3) and is perpendicular to the line that has an​ x-intercept of 22 and a​ y-intercept of negative 4−4.

Answer 1

Answer:

The answer to your question is y = -11/2x - 19

Step-by-step explanation:

Data

Point (-4, 3)

⊥ to the line x- intercept of 22 and y-intercept of -4.

Process

1.- Find the equation of the perpendicular line

This line has passes through the points  (22, 0) and (0, -4)

Slope = $\frac{-4 - 0}{0 - 22} = \frac{-4}{-22} = \frac{2}{11}$

2.- Find the slope of the new equation

Slope = $\frac{-11}{2}$    because the lines are perpendicular

3.- Find the equation of the new line

            y - 3 = -11/2 (x + 4)

            y - 3 = -11/2x - 44/2

            y - 3 = -11/2 x - 22

            y = -11/2 x - 22 + 3

            y = -11/2x - 19

See the graph below