Question

Will do a brainly! help me with this, please.

Answer 1

Answer:

C

Step-by-step explanation:

So, we want to find the equation of the line graphed.

To do so, let's first find the slope. Let's pick two points from the graph. I'm going to use (-2,2) and (0,-1).

The formula for slope is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's let (-2, 2) be (x₁, y₁) and let's let (0,-1) be (x₂, y₂). So, substitute:

$m=\frac{-1-2}{0-(-2)}$

Subtract:

$m=\frac{-3}{2}$

So, our slope is -3/2.

Now, we can use the point-slope form, which is:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is any point on the graph.

Since our answer choices are using the values 2 and 4, this means we can use the point (2,-4).

So, (2,-4) is our (x₁, y₁).

Also, our m is -3/2. So, substitute these into the point-slope form:

$y-(-4)=-\frac{3}{2}(x-2)$

Simplify:

$y+4=-\frac{3}{2}(x-2)$

Therefore, our answer is C.

And we're done!