Algebra I: Find equation of a line parallel to the line with given equation
 This is a free lesson from our course in Algebra I

 This lesson explains how to find the equation of a line parallel to another given line. The steps are simple: • calculate slope of the given line • extract other information provided, e.g. the y-intercept, a given point on that line etc. • find the equation of the new line by the combination of the slope and the other given information. Properties of parallel line: • if two non-vertical lines are parallel, then they have the same slope.• if two distinct non-vertical lines have the same slope, then they are parallel.• two vertical lines are parallel. (More text below video...)
Other useful lessons:
 Determine if two lines are parallel to each other Determine if two lines are perpendicular to each other Find equation of a line perpendicular to the line with given equation
(Continued from above) E.g. Write an equation of the line passing through (-3,2) and parallel to the line with equation y = 2x + 1.
The equation y = 2x + 1 is in Slope-Intercept Form, with m = 2. So, the slope of this line is 2. Since our line is parallel to this given line, it must have the same slope. Therefore, you have to find the equation of a line with slope 2 passing through the given point (-3,2).
Point-Slope
Form: y – y1 = m(x -x1)
y -2 =2(x - (-3))
Substitute: m = 2,
y – 2 = 2(x + 3)
Simplify, y – 2 = 2x + 6
y = 2x + 8
Solve for y,The equation of the line is y = 2x + 8.
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