Question

I need help with my math

Answer 1

We are given the following equation

`2x-y=6`

x-intercept:

The x-intercept is the point where the line intersects the x-axis

To find the x-intercept, substitute y = 0 into the equation

`\begin{gathered} 2x-y=6 \\ 2x-0=6 \\ 2x=6 \\ x=(6)/(2) \\ x=3 \end{gathered}`

So, the x-intercept for the given equation is 3

y-intercept:

The y-intercept is the point where the line intersects the y-axis

To find the y-intercept, substitute x = 0 into the equation

`\begin{gathered} 2x-y=6 \\ 2(0)-y=6 \\ -y=6 \\ y=-6 \end{gathered}`

So, the y-intercept for the given equation is -6

Therefore, the x-intercept and the y-intercept for the given equation is

x-intercept = 3, y-intercept = -6