Question

find a line parallel to the equation y=2x-2 and passes through the point (3,2) write the equation in slope intercept form

Answer 1

Answer: The slope intercept form of the line which is parallel to the given line and passing through the point (3,2), is
`y=2x-4`.

Step-by-step explanation:

The given line is,

`y=2x-2`

The slope intercept form is,

`y=mx+c`

Where m is slope and c is y-intercept.

On comparing the given equation with slope intercept form, we get slope of given line is m=2.

The point slope form is,

`y-y_1=m(x-x_1)`

The slope of parallel lines are same.

`y-2=2(x-3)`

`y-2=2x-6`

`y=2x-4`

Therefore, the required equation is
`y=2x-4`.