Consider the point A = (1,3) and the line B, given by the equation y = 2x-2. Write an equation in slope intercept form of the line passing through point A and parallel to line B.

Please help!

The equation of the line in slope intercept form is

Explanation:

The point A is

The equation of line for B is given by

We need to determine the equation of line in slope intercept form passing through the point A and parallel to line B.

Since, the lines of equation are parallel, their slopes are same.

Thus, the slope is

Now, let us substitute the point and slope in the slope - point formula, we have,

Thus, the equation of the line in slope - intercept form is