Find the slope of line t

Question

Line s crosses through the points
(−3, 6)
and
(−3, 9).
Line t is perpendicular to line s and crosses through the point
(−2, 1).
Find the slope of line t. (If an answer is undefined, enter UNDEFINED.)

 

How do i solve this step by step?

Answer 1

The slope of line s is undefined because of division by zero:  (9-6)/(-3 - -3) = 3/0

Therefore, line s is a VERTICAL line with equation x=-3. ALL vertical lines

have undefined slope.

 

Line t is perpendicular to line s.

Therefore, it is a HORIZONTAL line with slope zer0.

ALL horizontal lines have slope of zer0.

 

Since line t passes through (-2,1), it's equation is y=1.