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The two lines have identical slopes if they are parallel to each other.

If y1 = mx1 + c is the equation for one line then y2 = mx2 + d is the equation of a parallel line where c ≠ d.

"m" is the slope which is the same value in both equations.

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Q: What is the slope of the equation parallel to each other?
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A parallel equation has the same slope to the given equation. Note that your equation is in slope-intercept form; when an equation is solved for "y" (y = ...x + ...), the number in front of the "x" is the slope. Solve each of the other equations for "y" (if they are not already solved for "y"), and check the number in front of the "x".


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All lines that have the same slope are parallel to each other. To determine which lines are parallel to the give equation, you must first have to determine the slope of the equation. Notice that your equation is written in y = mx + b form, where m represents slope. In this case, m = 2. Any equation with a slope of 2 is parallel to your given line. For examples of lines that would be parallel, the following are all parallel: y = 2x y = 2x + 1 y = 2x + 2 y = 2x + 100


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To work out the equation of a straight line a pair of coordinates are needed or a coordinate and its slope. But in general when lines are parallel to each other on the Cartesian plane they have the same slope but with different y intercepts.


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