Question

Match the graph with its equation.

Answer 1

Answer:

-6x - 2y = 12

Step-by-step explanation:

In graph, y = -6 when x = 0. So y-intercept is -6.

Now look at equations. You must divide the equation by the coefficient of y.

For example, look at the second one.

6x + 2y = 12

Divide by 2 (which is the coefficient of y)

Now equation is 3x + y = 6

Then rearrange it by subtracting 3x.

y = -3x + 6

Obviously this isn't the answer b/c the y-intercept here is 6, not -6.

Do the same for all.

The last one:

-6x - 2y = 12

-3x - y = 6

-y = 3x + 6

y = -3x - 6

This is the answer because the y-intercept is -6.