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.