What is the equation of the line perpendicular to #y=-2/7x # that passes through # (-2,5) #?
To find the equation of the line perpendicular to the given line.
Step 1: Find the slope of the given line.
Step 2: Take the slope's negative reciprocal to find the slope of perpendicular.
Step 3: Use the given point and the slope use the Point-Slope form to find the equation of line.
Let us write our given line and go through the steps one by one.
Step 1: Finding the slope of
This is of the form
Slope of the given line is
Step 2: The slope of perpendicular is the negative reciprocal of the given slope.
Step 3: Use the slope
Equation of line in Point-slope form when slope
Simplifying we can get