The x-intercept = -3
The y-intercept = 2
Explanation:
the given equation: -8/3 x+4y=8
[tex]\lbrack tex\rbrack\frac{ - 8}{3}x+4y=8\lbrack/tex\rbrack[/tex]To get the x intercept, we make y = 0.
[tex]\begin{gathered} \frac{-8x}{3}+\text{ 4(0) = 8} \\ \frac{-8x}{3}\text{ = 8} \\ \text{cross multiply } \\ -8x\text{ = 8}\times3 \\ -8x\text{ = 24} \\ x\text{ = 24/-8} \\ x\text{ = -3} \end{gathered}[/tex]The x-intercept = -3
To get y intercept, we will make x = 0
[tex]\begin{gathered} \frac{-8(0)}{3}+\text{ 4y = 8} \\ 0\text{ + 4y = 8 } \\ 4y\text{ = 8 } \\ y\text{ = 8/4} \\ y\text{ = 2} \end{gathered}[/tex]The y-intercept = 2
