Question

9.

Match the graph with its equation.


A. –6x – 2y = 12

B. –6x + 2y = 12

C. 6x + 6y = 12

D. 6x + 2y = 12

Answer 1

The answer is A. -6x-2y=12.

Explanation:

In order to graph the equation, start by rewriting the equation in slope-intercept form. To rewrite the equation in slope-intercept form, add 6x to both sides of the equation, and then divide each term by -2 and simplify. Now, the equation should look like y= -6-3x.

Using the slope-intercept form, you can find the slope and y-intercept. By using the formula of y= mx+b, m= -3 and b= -6. Thus, the slope is -3 and the y-intercept is (0,-6).

Now, you can create a table of x and y values to graph the equation. After graphing the table of x and y values, the final answer is -6x-2y=12.