Question 688483: Can you help me find the parallel line the intersecting lin and perpedicular line to y = -7x + 5 Found 2 solutions by ReadingBoosters, josmiceli:Answer by ReadingBoosters(3246) (Show Source):
You can put this solution on YOUR website! Parallel lines have the SAME slope.
In y = -7x +5, the slope is -7
(compare to y = mx + b, where m is the slope)
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Perpendicular lines will have the a negative inverse slope of .
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Choose a point on the line y = -7x + 5
pick any x and solve for y
if x = 1
y = -7(1) + 5
y = -7 + 5 = -2
(1, -2)
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Using the point (1, -2) and the slope -7, you can find an equation for a parallel line
y - -2 = -7(x-1)
y + 2 = -7x + 7
y = -7x + 7 - 2 ==> equation for a parallel line
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Using the point (1, -2) and the slope of , you can find an equation for a perpendicular line
y - -2 = (x-1)
y + 2 =
y =
y =
y = ==> equation for a perpendicular line
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You can put this solution on YOUR website! The parallel line has the same slope. This
equation is in the form where is the slope. . can be any value, and the line
will still be parallel, so is a parallel line.
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Any perpendicular line will have slope = is a perpendicular line
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A line with any slope other than these 2 will be
an intersecting line, so is an intersecting line
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Here is a plot of all 4 lines:
(