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
+
y
=
5
4x+y=5?

Answer 1

The Answer is: y = 1/4x + 6

Explanation:

Given point (8, 8)

Given equation: 4x + y = 5

Solve for y:

y = -4x + 5

The slope is -4. The slope of a perpendicular line is the negative inverse, which would be 1/4.

Use the point slope form:

y - 8 = 1/4(x - 8)

Solve for y:

y - 8 = 1/4x - 8/4

y - 8 = 1/4x - 2

y = 1/4x - 2 + 8

y = 1/4x + 6