Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Question

Answer 1

given line goes through (2,2) and (1,6)

it has slope = -4 = "rise over run" or fall over run. y decreases 4 as x increases by 1

parallel lines have same slope =-4

perpendicular lines have negative inverse slope = 1/4

a parallel line through (4,3) is y-3 = -4(x-4)

a perpendicular line through (4,3) is y-3 =(1/4)(x-4)