# The gradient of a line which is perpendicular to the line with…

Posted by: 213 views

QuizTablet Community!

• A. 3/2
• B. -3/2
• C. 2/3
• D. -2/3

C

## SOLUTION…

The general form of the equation of a straight line is like this:

y = mx + c

Where m = gradient or slope,

And c = intercept on y-axis.

Now for a line that is perpendicular (that cuts through the line at exactly 90 degrees) to the straight line represented by y = mx + c, the slope will not be m, but -1/m

Now to solve this problem, let us reduce 3x + 2y + 1 = 0 to the form y = mx + c so that we can obtain m.

3x + 2y + 1 = 0

2y = -3x – 1

Dividing through by 2,

RELATED!  Find the gradient of the line joining the points P(5, 6) and...

### Now for the right answer to the above question:

1. Option A is incorrect.
2. Option B is incorrect.
3. C is correct.
4. D is not the correct answer.

## QUICK TIPS…

• If a line has a gradient of m, another line that is perpendicular to it will have a gradient of -1/m

Use the questions and answers session to raise further questions on this topic…

/ culled from 2018 JAMB-UTME mathematics question 32 /

##### The gradient of a line which is perpendicular to the line with... » QuizTablet

MATH SHORT-CLASS!!!

Course Provider: Organization

Course Provider Name: N.D Sammy

Course Provider URL: QuizTablet.com

Editor's Rating:
8.4