Question

Write an equation of the line parallel to the line and passing through the point.

y= 2x-8 (3,10)

y=1/2x+2, (0,4)

y=6, (3,4)

Answer 1

9514 1404 393

Answer:

• y = 2x +4
• y = 1/2x +4
• y = 4

Explanation:

In each case, the given line is of the form ...

y = mx +b

The parallel line will have the same slope (m), but will have a different b that can be found from the point (x, y) as ...

b = y -mx

__

a) m = 2

b = 10 -2(3) = 4

The parallel line is y = 2x +4.

__

b) m = 1/2

b = 4 -(1/2)(0) = 4

The parallel line is y = 1/2x +4.

__

c) m = 0

b = 4 -0(3) = 4

The parallel line is y = 4.