SOLUTION: Find the slope of a line perpendicular to 2x + 3y =4 slope=___________ could you break it down to where I might be able to understand it? Thank you!

Question 189828: Find the slope of a line perpendicular to 2x + 3y =4 slope=____________
could you break it down to where I might be able to understand it?
Thank you!
Found 2 solutions by solver91311, jojo14344:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The first thing you need to do is put this into slope-intercept () form.

Add -2x to both sides:

Then multiply by

Then the slope of the given line is the coefficient on the x variable.

Next you need to use:

to calculate the slope of a perpendicular.

John

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Given Line ---> 2x + 3y =4

Remember Slope-Intercept Form, , where

Going back to our Line Eqn and transforming it to our Slope-Intercept Form:

Isolate "y" by moving "x" to the right: (change sign, + or -)

, divide "3" the left & right terms:

As per our Slope-Intercept Form, we find Slope=m=-2/3

Now, the line perpendicular to 2x+3y=4 has a , negative reciprocal.
So, , Answer

Thank you,
Jojo
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