4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes through the point (5,8)?
a y - 4x + 21
b. y - 2x ***
a. y=2x-31

y = (-1/2)x + 21/2

Step-by-step explanation:

Given equation:

y - 2x + 7

Coordinates = (5,8)

Find:

Perpendicular equation

Computation:

y = mx + c

y - 2x + 7

y = 2x - 7

So,

m = 2

The negative reciprocal of 2 is -1/2

So,

For,

Coordinates = (5,8)

y = mx + c

8 = (-1/2)(5) + c

8 = -5/2 + c

c = 8 + 5/2

c = 21 /2

So,

y = mx + c

y = (-1/2)x + 21/2

step-by-step explanation:

y -5 = (-1/4)(x + 8)

step-by-step explanation: