Question

Which of the following is the equation of a line perpendicular to the line

Answer 1

Answer:

• A. - 2x + 3y = 21

Step-by-step explanation:

The perpendicular lines have opposite reciprocal slopes.

The given line has a slope of:

• m = -3/2

The perpendicular slope is:

• m = 2/3

And its y-intercept is:

• 9 = 2/3*3 + b
• b = 7

The line is:

• y = 2/3x + 7

Convert this into standard form and compare with answer choices:

• 3y = 2x + 21
• - 2x + 3y = 21

Correct choice is A