Question

What is the `x`-intercept of `y=3x-4`?

Answer 1

x-intercept `=4/3`

Explanation:

The x-intercept is the value of x where the line with equation
y = 3x - 4 crosses the x-axis.

When the line crosses the x-axis, the y-coordinate will be zero.
Substituting y = 0 into the equation and solving for x, gives the x-intercept.

solve : `3x-4=0`

add 4 to both sides of the equation.

`3xcancel(-4)cancel(+4)=0+4`

`rArr3x=4`

To solve for x, divide both sides by 4.

`(cancel(3) x)/cancel(3)=4/3`

`rArrx=4/3" is the x-intercept"`
graph{3x-4 [-10, 10, -5, 5]}