Question

Please help! The question and answer choices are attached.

Answer 1

A

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:

`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

We will let (-5, 1) be (x₁, y₁) and (0, -3) be (x₂, y₂). Substitute:

`\displaystyle m=((-3)-(1))/((0)-(-5))`

And evaluate:

`\displaystyle m=(-4)/(5)=-(4)/(5)`

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:

`\displaystyle y=mx+b`

Therefore, our equation is:

`\displaystyle y=-(4)/(5)x-3`

Our answer is A.