Question

What is an equation of the line that passes through the point

Answer 1

Answer:

$4x + 5y = - 20$

Step-by-step explanation:

1. Understand that a straight line that is perpendicular to another will have an opposite slope to the same.

2. Convert the equation to slope-intercept form, to manipulate it more easily:

$5x - 4y = 16 \\ y = \frac{5}{4} x - 4$

3. Take the slope, and get the opposite. Then replace the variables with the given points.

$- 8 = - \frac{4}{5} (5) - 4 \\ - 8 = - 4 - 4 = \\ - 8 = - 8$

Therefore, your finished equation would be:

$y = - \frac{4}{5} x - 4$

or

$4 x + 5y = - 20$