First find the slope of the line .

Rewrite the line in slope-intercept form y = mx + b, where m is slope and b is y-intercept.

Apply addition property of equality: Add 10x from each side.

                             (Apply additive inverse property: )

                     (Divide each side by 6)

                                 (Divide: )

Compare the equation with slope-intercept form and find the slope of the line.

=

The line is paralle to . Parallel line has same slope.

So, slope of the new line =

Graph the line using given point and slope.

1.      Draw a coordinate plane.

2.      Plot the given point (0, 3).

3.   Find the next point using . Start at (0, 3) and go up 5 units and 3 units right, then mark a dot and label it.

4.   Draw a line through these points.

Graph of the line passing through the point (0, 3) and slope  is