Question
Find the line that is parallel to and passes though the point .
Answer
The equation of the line parallel to the given line that contains point is:
( General form )
( Slope y-intercept form )
Explanation
Step 1:The slope of a given line is .
Step 2: Parallel lines have the same slope, so the slope of the unknown line () will also be . So the parallel line will have a slope of
Step 3: Now we have a point and the slope so we can use point-slope form, which is:
In this example we have: , and . After substitution we have:
L1
L2
1
0.5
-0.5
-1
1.5
1
0.5
-0.5
-1
-1.5
( 0 , 0 )
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Parallel and perpendicular lines calculator