Question

PLEASE HELP ASAPPPP!!!!!!!!

Answer 1

slope: 1.25

Part B: The order in which the points are given does not change the value of the slope

Explanation:

Part A. Given two points we can find slope using the slope formula

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

Given the points ( -6, 1/2) and ( -4,3 )

We plug in the y values and x values (starting with the last point give )

`m=(3-.5)/(-4-(-6)) \\3-(1)/(2) =2.5\\-4-(-6)=2\\(2.5)/(2) =1.25\\`

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25

Part B. The order in which the points are given does not change the value of the slope

Observe -

* flip the order in which the points are given *

given (-4,3) and (-6,1/2)

we use the same formula

*plug in the y and x values starting with the last point*

`m=(.5-3)/(-6-(-4)) \\.5 - 3=-2.5\\-6-(-4)=-2\\(-2.5)/(-2) =1.25`

The slope still equals 1.25 meaning that the order in which the points are given does not matter.