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 $y=2x-4$.

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 $y=2x-4$.