Find the slope of the following:
a) A line parallel to the line through the origin and the point (10,11)
b) A line perpendicular to the line that passes through (3,8) and (-1,9)
c) A line parallell to the x-axis
a) A line through the origin, which is (0, 0) , and (10, 11) has a slope of
[11 - 0] / [10 - 0] = 11/10
and a line parallel to this also has a slope of 11/10 .
b) A line that passes through (3, 8) and (-1, 9) has a slope of
[9 - 8] / [-1 - 3] = 1 / -4 = -1/4
and the slope of a perpendicular line = the negative reciprocal of -1/4 = 4
c) A line parallel to the x-axis will not "rise" at all between any two points.
its slope = rise / run = 0 / run = 0
a) A line through the origin, which is (0, 0) , and (10, 11) has a slope of
[11 - 0] / [10 - 0] = 11/10
and a line parallel to this also has a slope of 11/10 .
b) A line that passes through (3, 8) and (-1, 9) has a slope of
[9 - 8] / [-1 - 3] = 1 / -4 = -1/4
and the slope of a perpendicular line = the negative reciprocal of -1/4 = 4
c) A line parallel to the x-axis will not "rise" at all between any two points.
its slope = rise / run = 0 / run = 0