Question

what is an equation of the line that passes through the point
(
8
,
−
8
)
(8,−8) and is perpendicular to the line
4
x
−
3
y
=
18
4x−3y=18?

Answer 1

9514 1404 393

Answer:

  3x +4y = -8

Step-by-step explanation:

The perpendicular line will have the x- and y-coefficients swapped, and one of them negated. The constant in the equation will be such that the given point values will satisfy the equation.

  4x -3y = 18 . . . . . . given equation

  3x +4y = 3(8) +4(-8) = -8 . . . . swap coefficients, used point coordinates

  3x +4y = -8 . . . . . the equation of the line you want