Find the equation of the line that has x - intercept - 3 and which is perpendicular to the line 3x + 5y = 4
Given: The given line is 3x + 5y = 4. The perpendicular line has an x - intercept of - 3.
Formula to be used: The product of slopes of two perpendicular lines = - 1.
The 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 intercepts the x - axis when y = 0.
So, the x - intercept:
Now, it is given that the x - intercept is - 3.
i.e. c = 5
The required equation of the line is
i.e. 5x - 3y + 15 = 0