SOLUTION: Can you help me find the parallel line the intersecting lin and perpedicular line to y = -7x + 5
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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)
...
Perpendicular lines will have the a negative inverse slope of .
...
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)
...
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
...
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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Answer by josmiceli(19441) (Show Source): 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.
--------------
Any perpendicular line will have slope =
is a perpendicular line
--------------
A line with any slope other than these 2 will be
an intersecting line, so
is an intersecting line
--------------
Here is a plot of all 4 lines:
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