Question
Asked Nov 19, 2019
38 views

 Find the equation of the line passing through the point  (2, 3) and  perpendicular to the line 2y = 6 – 3x     

check_circle

Expert Answer

Step 1

Given, a line passing through the point (2, 3) and perpendicular to the line 2y = 6 – 3x.

First rewrite the given equation into slope intercept form.

i.e, y = mx +c

Where, m is the slope and c is the y-intercept.

help_outline

Image Transcriptionclose

2у 3 6- 3х. 6-3х у 3- 2 3 у3. у%3——х+3 2 3 Then, m 2

fullscreen
Step 2

Two lines are perpendicular when the product of their slope is -1.

help_outline

Image Transcriptionclose

i.e, т, хт, %3D—-1 3 then 2 If m =-1 -хm, 2 2 т, 3

fullscreen
Step 3

Then, the equation of the oth...

help_outline

Image Transcriptionclose

2 y==x+b 3

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Other