Question

Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. (3.-5) and (2-2)

А. -3, falls
В. 1/3, rises
C. 3, rises.
D. -1/3, falls

Answer 1

Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.

Explanation:

The formula calculate to find slope is:
`Slope=(y_2-y_1)/(x_2-x_1)`

We are given points (3,-5) and (2,-2) so,

`x_1=3, y_1=-5, x_2=2, y_2=-2`

Putting values in formula and finding slope

`Slope=(y_2-y_1)/(x_2-x_1)\\Slope=(-2-(-5))/(2-3)\\Slope=(-2+5)/(1)\\Slope=3`

So, Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.