Given: y = 3x - 4, what is the x-intercept?

Question

1. (0, -4)

2. (0, 4/3)

3. (4/3, 0)

Answer 1

choice 3.

when y = 0, x = 4/3

Answer 2

The x intercept is where the graph crosses the x axis, which is where y = 0.

Set y = 0 in the equation, and solve for x

0 = 3x - 4

4 = 3x

4/3 = x

So, your x intercept is where

x = 4/3 and y = 0

Answer 3 is correct (4/3,0)

Answer 3

since the x-intercept is the point on the line that crosses the x-axis, the y value of the point would have to be 0, so you know it's 3.  If it wasn't multiple choice, though, you would substitute 0 into the equation for y and get

0 = 3x - 4

4 = 3x

x = 4/3

so y is 0 and x is 4/3 and x-intercept is (4/3, 0)