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
