Question

I am wondering how to find the x-intercept of a line with an equation of y= 2x - 6

Answer 1

Given the equation of the line:

`y=2x-6`

You need to remember that, by definition, the value of "y" is zero when the line intersects the x-axis.

Therefore, in order to find the x-intercept using the equation of the line, you need to substitute this value of "y" into the equation:

`y=0`

Then:

`0=2x-6`

Now you have to solve for "x":

`\begin{gathered} 6=2x \\ \\ (6)/(2)=x \\ \\ x=3 \end{gathered}`

Hence, the answer is:

`x=3`