Question

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Answer 1

Answer:

A) $y+7=-3(x-4)$

Step-by-step explanation:

Hi there!

The given equations are written in point-slope form: $y-y_1=m(x-x_1)$ where m is the slope of the line and $(x_1,y_1)$ is a point that falls on the line

Notice how the line is travelling infinitely down as x increases. This means that the slope is negative.

Therefore, the equation of the line is either A or B.

Now, let's look at A:

$y+7=-3(x-4)$

This equation suggests that the point (4,-7) falls on the line, which it does.

Therefore, the equation of the graph is $y+7=-3(x-4)$.

I hope this helps!