Parallel & Perpendicular Lines

Perpendicular Lines

Example 1

Find the equation of a line perpendicular to y = -3x + 5 that passes through the point (2, 6).

 
 

Step 1.Find the slope of the given line y = -3x +5 .

m1 = -3

Step 2. Find the opposite reciprocal of the given slope.

Perp_ex1

 

Step 3. Write an equation of a line with slope Perp_ex1-2 that passes through point (2, 6) using the point-slope form.

Perp_ex1-3

Step 4. Simplify.

Perp_ex1-4

The equation of the line perpendicular is: Perp_ex1-5