Question

Find the equation of the line that contains The given point and is perpendicular to the given line. Write the equation in slope intercept form, if possible. (14,21); y = -7x + 4

Answer 1

Answer:
`y=(1)/(7)x+19`

Explanation:

Perpendicular lines have slope that are negative reciprocals, so the slope of the line we want to find is 1/7.

The equation in point-slope form is
`y-21=(1)/(7)(x-14)`.

Rearranging into slope-intercept form,

`y-21=(1)/(7)x-2 \\ \\ y=(1)/(7)x+19`