geometry

rhonda hand 1

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Jun 22, 2005
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1
find an equation of the line with the given conditions.

perpendicular to the graph of -2y+x=-5, passes through th point t (-3,-3)

and also the problem,

use the slope to show that pyramid XYZ with vertices X(1, -2) Y(4, 1) and
Z(7, -2) is a right triangle.

thank you
rhonda
 
rhonda hand 1 said:
find an equation of the line with the given conditions.

perpendicular to the graph of -2y+x=-5, passes through th point t (-3,-3)

Firstly, find the slope of that line. The slope of a line perpendicular to it is the opposite reciprocal of that. That is, if the slope of this line is m, the slope of the perpendicular line is -1/m.

Once you've found the slope of the perpendicular line, you can use the point-slope formula to get the equation of the line:

. . . . y - y<sub>1</sub> = m(x - x<sub>1</sub>)

where x<sub>1</sub> and y<sub>1</sub> are the coordinates of a point on the line, and m is its slope.

rhonda hand 1 said:
use the slope to show that pyramid XYZ with vertices X(1, -2) Y(4, 1) and Z(7, -2) is a right triangle.

Find the slope of the side XY, and find the slope of the side YZ. If those slopes are opposite reciprocals, then the sides are perpendicular, and thus are the legs of a right triangle.
 
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