Question

The coordinates of the vertices of angle XYZ are X(-5,5), Y(-3,-2), and Z(4,0) what is the slope of XZ,YZ,and XY?

Answer 1

Here are the answers to the quiz:

Explanation:

Answer 2

The slope of XZ,YZ,and XY are
`(2)/(7),\ (2)/(7),\ (-7)/(2)` respectively.

Solution-

The coordinates of the vertices are as follows,

X = (-5, 5)

Y = (-3, -2)

Z = (4, 0)

Slope of XZ-

`Slope=(y_2-y_1)/(x_2-x_1)`

`=(0-5)/(4+5)`

`=(-5)/(9)`

Slope of YZ-

`Slope=(y_2-y_1)/(x_2-x_1)`

`=(0+2)/(4+3)`

`=(2)/(7)`

Slope of XY-

`Slope=(y_2-y_1)/(x_2-x_1)`

`=(-2-5)/(-3+5)`

`=(-7)/(2)`