Question

Choose the linear equation that is perpendicular to the following line:

y= 3/4x+1
a. y= 4/3x−1
b. y=− 3/4x+1
c. y=− 4/3x+1
d. y= 3/4x−1

Answer 1

To find a linear equation that is perpendicular to a given line, take the negative reciprocal of the slope of the given line.

Step-by-step explanation:

The equation of a line perpendicular to another line can be found by taking the negative reciprocal of the slope of the given line.

The given line has a slope of 3/4.

To find a line perpendicular to it, we need to find the negative reciprocal of 3/4.

The negative reciprocal of 3/4 is -4/3.

Therefore, the linear equation perpendicular to the given line is y = -4/3x + b, where b is the y-intercept.