SOLUTION: I need to know the slope of a line perpendicular to the line 7x-2y=-2 And, I need to know the slope of a line parallel to the line 7x-2y=-2

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Question 217013: I need to know the slope of a line perpendicular to the line 7x-2y=-2
And, I need to know the slope of a line parallel to the line 7x-2y=-2

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
I need to know the slope of a line perpendicular to the line 7x-2y=-2
Convert to "slope-intercept" form:
y = mx + b
7x-2y=-2
-2y = -7x-2
y = (7/2)x + 1
Since the slope of the line is 7/2, a line perpendicular to this will have a "negative reciprocal" slope.
Let m = slope of perpendicular line
then
m(7/2) = -1
m = -2/7
.
And, I need to know the slope of a line parallel to the line 7x-2y=-2
Since we found the slope of:
7x-2y=-2
to be 7/2
a line parallel to this will have the SAME slope
therefore, slope of a parallel line is 7/2

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