We have the next equation
[tex]3x-2y=-8[/tex]And we must graph it using the intercepts.
So, we must find the x and y intercept
x intercept:
To find the x intercept we must replace y = 0 in the function and then solve it for x
1. Replacing y = 0
[tex]3x-2(0)=-8[/tex]2. Solving for x
[tex]\begin{gathered} 3x-0=-8 \\ 3x=-8 \\ x=\frac{-8}{3}=-2.67 \end{gathered}[/tex]So, the x intercept is (-2.67, 0)
y intercept:
To find the y intercept we must replace x = 0 in the function and then solve it for y
1. Replacing x = 0
[tex]\begin{gathered} 3(0)-2y=-8 \\ -2y=-8 \\ y=\frac{-8}{-2} \\ y=4 \end{gathered}[/tex]So, the y intercept is (0, 4)
Finally, the graph of the function will be the line that passes through the two intercepts
