SOLUTION: what is the x and the y-intercepts of 3x-y=6

Question 537488: what is the x and the y-intercepts of 3x-y=6
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
The x-intercept is the place where the line crosses the x-axis. In other words, y=0. To find it, substitute 0 for y, solve for x. Then you have the x and y coordinates of the x-intercept.

3x-0=6

divide both sides by 3

x=2

The x-intercept is (2,0)

For the y-intercept set x=0, then solve for y. You can also manipulate the equation into the slope-intercept form (y=mx+b) where b is the y-coordinate of the y-intercept. This equation is set up in a way that it's easier to substitute 0 for x.

3(0)-y=6

-y=6

Divide both sides by -1.

y = -6

The y-intercept is (0,-6).

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