Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y = 4/3x. show your work plz.

Required Equation of line is 4y + 3x = 20

Step-by-step explanation:

Given:  Passing through point of a line ( 4 , 2 )

            Equation of line :

We have to find an equation of line which is perpendicular to given line and passes through given point.

First we find slope of given line by comparing it with Slope-intercept form of line,   y = mx + c

we get,

let slope of required line be m.

we know that Product of the perpendicular lines equals to -1.

So, Using Slope and point form we find equation of required line,

Therefore, Required Equation of line is 4y + 3x = 20

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step-by-step explanation: