125k views
4 votes
1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-2, 2). * (4 Points)​

1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular-example-1
User Jintin
by
8.6k points

1 Answer

5 votes

Answer:

y = -5x - 8

Explanation:

Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.


(y2 - y1 )/(x2 - x1)

Now plug in your points


(-3 - (-4))/(0 - (-5)) \\\\(1)/(5)

Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.

Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept

2 = -5(-2) + b (b represents the y-intercept)

2 = 10 + b (subtract 10 from both sides)

-8 = b

The perpendicular line looks like this y = -5x - 8

Hope this helps ya! Keep smiling!

User Steve Fitzsimons
by
8.1k 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