Question

Find the x-intercept and y-intercept of the equation 3x−y=6.

Answer 1

To find the x-intercept and y-intercept of the equation 3x - y = 6, you can set one variable to zero to find the intercepts.

1. For the x-intercept (where the line crosses the x-axis), set y to 0 and solve for x:
3x - 0 = 6
3x = 6
x = 6 / 3
x = 2

So, the x-intercept is (2, 0).

2. For the y-intercept (where the line crosses the y-axis), set x to 0 and solve for y:
3(0) - y = 6
-y = 6
y = -6

So, the y-intercept is (0, -6).

Answer 2

The y intercept is at y=-6. This can be written as (0,-6)

The x intercept is at x=2. This can be written as (2,0).

Explanation:

3x−y=6.

The y intercept is when x = 0.

So 3(0) -y = 6

-y = 6

y = -6

The y intercept is at y=-6.

The x intercept is when y =0.

3x−0=6.

3x = 6

x = 2.

The x intercept is at x=2.