Question

Find the x and y-intercepts for 3x-y=6 graph them.?

Answer 1

To find the x intercept, plug zero in for y and solve for x.
To find the y intercept, plug zero in for x and solve for y.

3(0) - y = 6 3x - 0 = 6
-y = 6 3x = 6
y = -6 x = 2
(0,-6) (2,0)

Answer 2

The x-intercept would have the sample coordinate of (x, 0) -- where y = 0
The y-intercept would have the sample coordinate of (0, y) -- where x = 0

The x-intercept can be found by:
3x - 0 = 6
3x = 6
x = 2

x-intercept is (2, 0)

The y-intercept can be found by:
3(0) - y = 6
-y = 6
y = -6

y-intercept is (0, -6)

So just graph those two coordinates and then draw a straight line through them.