Question

Passing through (4,5) and PARALLEL to y=2x-4

Answer 1

-2x+y=-3

Explanation:

Choose a point (4,5) that the parallel line will pass through.

Find the slope m=2

To find an equation that is parallel to y=2x-4 the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

y-y1=m(x-x1) if m=2 and x1=4 and y1=5

y-5=2(x-4)

y-5=2x-8

Solve for y --- > y=2x-3

-2x+y=-3

(-2x+y=-3)*-1

2x-y=3

Answer 2

A PARALLEL line has the same angular coeficient, so:

`f(x) = 2x+b`

`f(4) = 5`

`5 = 2\cdot 4 +b`

`b = 5-8`

`b = -3`

The line asked is:

`f(x) = 2x-3`