The expression we have is:
[tex]6x-2y=12[/tex]This is the equation of the line.
To find the y-intercept, we need to find the value for y, when x is equal to 0. So we plug x=0 into our equation:
[tex]6(0)-2y=12[/tex]And we solve for y:
[tex]-2y=12[/tex]Divide both sides by -2:
[tex]\begin{gathered} \frac{-2y}{-2}=\frac{12}{-2} \\ y=-6 \end{gathered}[/tex]The y-intercept is at y=-6
In the coordinate form, the y-intercept is (0,-6)
Now, to find the x-intercept, we need to find the value of x, when y=0.
So we plug y=0 into the equation:
[tex]6x-2(0)=12[/tex]And we solve for x:
[tex]6x=12[/tex]Divide both sides by 6:
[tex]\begin{gathered} \frac{6x}{6}=\frac{12}{6} \\ x=2 \end{gathered}[/tex]The x-intercept is at x=2
In coordinate form, the x-intercept is: (2,0)
