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Slopes of Perpendicular and Parallel Lines

13. The slope of the line perpendicular to the line passing through (0, 0) and (-5,-5) is

a) 0
b) inf
c) 1
d) -1

16. The line y = x+4 is parallel to 4x + 4y = 15

a) True
b) False

17. The above two lines (question 16) intersect at

a) (-3.875, 0.125)
b) (0.125,3.875)
c) (-0.125, 3.875)
d) (3.875, 0.125)
e) none of the above

Solution Preview

To calculate the slope of a line between two points (x0,y0) and (x1,y1) we use:

a = (y1-y0)/(x1-x0)

In our case this becomes:

a = (-5-0)/(-5-0) = (-5)/(-5) = 1

All lines with this slope are ...

Solution Summary

Slopes of Perpendicular and Parallel Lines are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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