3.8 geometry 10th grade

Question

Write an equation of the line parallel to the given line that contains C.

1. C(6,0);y=1/3x
2. C(6,-2);y=-3/2x+6

Answer 1

Use point-slope form

1) y - 0 = (1/3)(x - 6)

2) y + 2 = (1/3)(x - 6)

Answer 2

1 C(6,0) y=(1/3)x

any parallel line has the same slope = 1/3

y= (1/3)x + b is a parallel line where b does not = 0. To solve for b plug in the point, x =6, y = 0

0 = (1/3)(6) + b

0= 2 + b

b = -2

y = x/3 -2 is the parallel line through point C

2 C(6,-2) y= (-3/2)x + 6

y= (-3/2) + b

-2 = (-3/2)(6) + b

b = -2 +9 = 7

y = -3x/2 +7 is the parallel line though point C