If given an equation of a line such as y = -1/2x + 6, demonstrate on the whiteboard how to create an equation of a line parallel and perpendicular to this line that goes through another point such as (4, 10).

parallel line y = -1/2x + 12

perpendicular line y = 2x + 2

Step-by-step explanation:

slope = -1/2

perpendicular slope = 2

y = mx + b

10 = -1/2(4) + b

10 = -2 + b

12 = b

y = -1/2x + 12

10 = 2(4) + b

10 = 8 + b

2 = b

y = 2x + 2

a

step-by-step explanation:

a