Question

Y = 1/3x -1

x-intercept (3,0)

How did they get this answer? Somebody please help

Answer 1

Explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

`0=(1)/(3) x-1`

`1=(1)/(3) x`

`x=3`

So x-intercept is the point (3,0).

Answer 2

The x-intercept of a line is the point where the line crosses the x-axis, which means that the y-coordinate of the point is zero. To find the x-intercept of the line y = (1/3)x - 1, we need to substitute y with zero and solve for x.

Here's how to do it:

Substitute y with zero:
0 = (1/3)x - 1

Add 1 to both sides:
1 = (1/3)x

Multiply both sides by 3:
3 = x

So the x-intercept of the line y = (1/3)x - 1 is (3,0). This means that the line crosses the x-axis at the point (3,0).

In conclusion, the x-intercept of the line y = (1/3)x - 1 is (3,0), which means that the line crosses the x-axis at the point (3,0).