Answer:
[tex]-\displaystyle\frac{4}{3}[/tex]
Step-by-step explanation:
Slope describes the change in y divided by the change in x.
Solving Using Slope Formula
One way to find slope when you are given 2 points is the slope formula.
- Slope = [tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]
To solve, plug in the x and y-values and simplify. For this question, let (-2, 3) represent the (x₂, y₂) and (1, -1) represent (x₁, y₁).
- [tex]\displaystyle\frac{3-(-1)}{-2-1}=-\frac{4}{3}[/tex]
This shows that the slope of this line is -4/3.
Solving Through Counting
When given the graph of a function, you can also count out the slope. Starting from the left point, count the change in y-values and the change in x-values. Remember, when the y-values decrease, the change should be negative. The y-value changes by -4 and the x-value changes by +3.
Since the slope is change in y over change in x, the slope is -4/3.
