Question

Line m is perpendicular to x − 5y = −1 and passes through (2, 9). What is the slope of line m?

A −5
B 1/5
C 9
D 5

Answer 1

Slope of line M= -5

Explanation:

Perpendicular lines have opposite reciprocals for slope.

For ex: 1/2x=y is perpendicular to -2x=y

For this one simplify the first equation:

x+1=5y

x/5+1/5=y

The slope of the original equation is 1/5.

So the slope of the perpendicular line would be -5.

The actual equation would be:

-5x+19=Y