Keyword Analysis & Research: equations of parallel and perpendicular lines


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How do you determine parallel and perpendicular lines?

To prove these two lines are parallel, all we have to do is calculate their slope and verify those slopes are the same. We see that both line 1 and line 2 have slope -2/7. Therefore, the lines are parallel. Perpendicular lines are lines that create 90 degree angles when they intersect.

How do you find the equation of a line parallel?

The equation of the line in theslope-intercept form is y=2x+5. The slope of the parallelline is the same: m=2. So, the equation of theparallel line is y=2x+a. To find a, we use the fact that theline should pass through the given point:5=(2)⋅(−3)+a.. Regarding this, how do you find the equation of a parallel line that passes through a given point?


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