determine whether the side
through the points (2, 3) and (11, 6) is perpendicular to the side through the points
(2, 3) and (-3, 18).
2007-06-12 07:34:13 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Calculate the slopes of the two line segments. If they are opposite reciprocal to each other, they are perpendicular. The formula for the slope between points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). Between the first two points, that's (6 - 3) / (11 - 2) = 3/9 = 1/3. The opposite reciprocal of 1/3 is -3. Check the slope of the second two points; if it is equal to -3, the sides are perpendicular.
2007-06-12 07:38:04 · answer #1 · answered by DavidK93 7 · 1⤊ 1⤋
We just need to see if the slopes are negative inverses or not.
Slope 1:
(6 - 3) / (11-2) = 1/3
Slope 2:
(18 - 3) / (-3 - 2) = -3
yes, they are negative inverses, so yes, they are perpendicular to each other.
2007-06-12 07:39:07 · answer #2 · answered by gavshouse32 1 · 1⤊ 0⤋
The slope of a line through (2,3) and (11,6) is (6-3)/(11-2)=1/3.
The slope of a line through (2,3) and (-3,18) is
(18-3)/(-3-2)=-3
The lines are perpendicular since the slopes are negative reciprocals i.e. (1/3)*(-3)=-1
2007-06-12 07:41:29 · answer #3 · answered by Anonymous · 0⤊ 0⤋