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

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

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 =
`(-4 - 0)/(0 - 22) = (-4)/(-22) = (2)/(11)`

2.- Find the slope of the new equation

Slope =
`(-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