Find the equation of the line passing through the point (2, 3) and perpendicular to the line 4x + 3y = 10

Given: The given line is 4x + 3y = 10. The line perpendicular to this line passes through (2,3).

Formula to be used: The product of slopes of two perpendicular lines = - 1

Slope of this line is .

the slope of the perpendicular line =

The equation of the line can be written in the form

(c is the y - intercept)

This line passes through (2,3), so the point will satisfy the equation of the line.

The required equation is

or, 4y = 3x + 6 i.e. 3x - 4y + 6 = 0.