We want to find the slope of the shown line.
The slope is equal to -3/4.
If we know that a linear equation passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So we just need to look at the graph and find two points on the line.
We can use (0, 2) and (4, -1), then the slope is:
[tex]a = \frac{-1 - 2}{4 - 0} = \frac{-3}{4}[/tex]
So we can conclude that the slope of the line is equal to -3/4.
If you want to learn more, you can read:
https://brainly.com/question/13738061
