Write and equati9n of a l8ne that passes through (1,-2) and is perpendicular to -4x+7y=21

Given:

A line passes through (1,-2) and is perpendicular to .

To find:

The equation of that line.

Solution:

We have, equation of perpendicular line.

Slope of this line is

Product of slope of two perpendicular lines is -1.

Now, slope of required line is and it passes through (1,-2). So, the equation of line is

where, m is slope.

Therefore, the equation of required line is .

72 is the answer to this problem