Question

pleasee help!!Alexis will graph the linear equation 6x - 2y = 12 by plotting the x-intercept and y-intercept. Write the coordinates of the intercepts that Alexis should use. • what is the x-intercept and y-intercept?

Answer 1

In order to find the x-intercept, we just need to find the value of x where y = 0, and for y-intercept, we need to find the value of y where x = 0. So we have:

x-intercept:

`\begin{gathered} y=0\colon \\ 6x-2\cdot0=12 \\ 6x=12 \\ x=2 \end{gathered}`

y-intercept:

`\begin{gathered} 6\cdot0-2y=12 \\ -2y=12 \\ y=-6 \end{gathered}`

So the coordinates of the x-intercept are (2, 0) and the coordinates of the y-intercept are (0, -6).