Question

Choose the graph that represents the linear equation 6x - 2y = 12. * 9

Answer 1

Answer: x-intercept = 2, y-intercept = -6

Step-by-step explanation:

To solve this problem, we must first convert 6x - 2y = 12 to slope-intercept form by getting y by itself.

1. 6x - 2y = 12

2. -2y = 12 - 6x

3. -2y/-2 = 12/-2 - 6x/-2

y = 3x - 6

Using our knowledge of what the slope-formula represents, we know that the -6 is the y-intercept.

To find the x-intercept, we set the formula equal to 0 instead of y and solve for x.

1. 0 = 3x - 6

2. 0 + 6 = 3x

3. 6/3 = 3x/3

x = 2