Answer:
slope: 1.25
Part B: The order in which the points are given does not change the value of the slope
Step-by-step explanation:
Part A. Given two points we can find slope using the slope formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Given the points ( -6, 1/2) and ( -4,3 )
We plug in the y values and x values (starting with the last point give )
[tex]m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\[/tex]
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*
[tex]m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25[/tex]
The slope still equals 1.25 meaning that the order in which the points are given does not matter.
