The equation of a line in Slope-Interecept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the following equation:
You need to solve for "y" in order to write it in Slope-Intercept form:
You can see that its slope is:
Since the slopes of parallel lines are equal, you know that the slope of the other line is:
Substitute the coordinates of the given point and the slope into this equation:
And solve for "b". This is:
Finally, knowing the slope and the y-intercept, you can determine that the equation of this line in Slope-Intercept form, is: