Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give your answer in slope intercept form

Given:

Equation of line .

To find:

The equation of line  that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

Slope of line is

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

Now, the slope of perpendicular line is and it goes through (-21,2). So, the equation of line is

Therefore, the required equation in slope intercept form is .

the correct answer is d

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