Answer:
Step-by-step explanation:
there are a couple ways to find slope
1. Rise over Run Method:
for this method, you use basic counting
to do this, you count the number of x spaces it takes the line to get from one y space to the next
for your line, the run is 3 because it takes 3 x spaces to get from one whole number to the next on the y spaces
you would say the rise is -1 because the line is going down, and it takes 3 x spaces to get the next pot that is on a y-axis increment
so we know the rise is -1 and the run is 3
if you put this into rise/run format, you get 1/-3
so -1/3 is you slope
2. Using the Coordinates
in this line, you see two points
the points are 1. (-1, -1), and 2. (2, -2)
using the coordinates means that you use a formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
the y2 is the y value of the second coordinate (-2), the y1 is the y value of the first coordinate (-1)
the x2 is the x value of the second coordinate (2), the x1 is the x value of the first coordinate (-1)
if you plug these it you get: -2 - (-1) / 2 - (-1)
this can be simplified to -2 + 1 / 2 + 1
and simplified again to -1/3
Qhat ever method you use, you should get the same answer. Using both methods is a good way to check your work.
