Answer:
A
Step-by-step explanation:
We want to find the equation of the line in slope-intercept form.
From the graph, we are given the two points (-5, 1) and (0, -3).
We can find the slope between them. The slope formula is given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We will let (-5, 1) be (x₁, y₁) and (0, -3) be (x₂, y₂). Substitute:
[tex]\displaystyle m=\frac{(-3)-(1)}{(0)-(-5)}[/tex]
And evaluate:
[tex]\displaystyle m=\frac{-4}{5}=-\frac{4}{5}[/tex]
Next, notice that the point (0, -3) is already the y-intercept, so we do not need to find it.
Slope-intercept form is given by:
[tex]\displaystyle y=mx+b[/tex]
Therefore, our equation is:
[tex]\displaystyle y=-\frac{4}{5}x-3[/tex]
Our answer is A.
