Question

What is the slope of line segment EF?
A. 1/3
B. 3/2
C. 2/3
D. -3/2

Answer 1

It would be B.) because from point "e" you go up 3 right 2

Answer 2

Answer : The correct option is, (B)
`(3)/(2)`

Explanation:

The formula used for slope is:

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

where,

m = slope

`x_1` and
`x_2` are the coordinates of x-axis

`y_1` and
`y_2` are the coordinates of y-axis

From the graph we conclude that:

`x_1` and
`x_2` are (-2) and (2) respectively.

`y_1` and
`y_2` are (-4) and (2) respectively.

Now put all the given values in the above formula of slope, we get:

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

`m=((2-(-4)))/((2-(-2)))`

`m=((2+4))/((2+2))`

`m=(6)/(4)`

`m=(3)/(2)`

Therefore, the slope of line segment EF is,
`(3)/(2)`