Question

The equation of a line of s y=1/4x-2 what is the equation of the line that is parallel to the first line and passes through (4,-2)

Answer 1

The slopes of parallel line are the same.

We have
`y=(1)/(4)x-2` therefore the equation of parallel line is
`y=(1)/(4)x+b`

We know. The line passes throught (4; -2). Substitute the coordinates of the point to the equation:

`-2=(1)/(4)\cdot4+b\\\\-2=1+b\ \ \ |-1\\\\b=-3`

Answer:
`y=(1)/(4)x-3`