Question

1)The graph below shows a line segment XY:

What is the slope of the line segment XY?
-2
-1/2
1/2
2

Answer 1

slope of line segment XY is -2.

Explanation:

From the given graph, we have

coordinate of the point X is (-1,3)

coordinate of the point y is (1,-1)

The slope of a line through the point
`(x_1,y_1),(x_2,y_2)` is given by

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

Here, we have

`x_1=-1,y_1=3,x_2=1,y_2=-1`

On substituting these value in the above formula of slope, we get

`m=(-1-3)/(1+1)\\\\m=(-4)/(2)\\\\m=-2`

Therefore, the slope of line segment XY is -2.

Answer 2

The segment goes from point (-1, 3) to (1,-1)
Slope = rise / run = (-3 - 1) / (1 - (-1)) = -4 / 2 = -2
Slope = -2