All lines parallel to y=2x-3 will have the same slope as y=2x-3. So how do you find the slope of y=2x-3? Very simple! When written in slope-intercept form you simply look at the coefficient of the ‘x’ term. In this instance the coefficient is 2. Therefore any equation that has a slope of 2 will be parallel to y=2x-3. In general we can say that the family of equations parallel to y=2x-3 is y=2x+b where b is the y-intercept.
