140k views
4 votes
Find the equation of the line perpendicular line displayed below that passes through the point (-3,2). Explain your process. Express your answer in point-slope form

Find the equation of the line perpendicular line displayed below that passes through-example-1

1 Answer

4 votes

9514 1404 393

Answer:

y -2 = 1/4(x +3)

Explanation:

Process: find the negative reciprocal of the slope of the line shown and put the appropriate values into the point-slope equation.

__

The slope of the given line can be found as the ratio of rise to run between the marked points.

m = rise/run = -8/2 = -4 . . . . counting grid squares

The desired line has a slope that is the opposite reciprocal of this:

m' = -1/m = -1/-4 = 1/4

The point-slope equation of a line with slope m through point (h, k) is ...

y -k = m(x -h)

Then the desired line with slope 1/4 through point (-3, 2) has equation ...

y -2 = 1/4(x +3)

User Ameet Chaubal
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories