Question

`\frac { - 8}{3} x + 4y = 8`x, y intercept -8/3x+4y=8please help?!

Answer 1

The x-intercept = -3

The y-intercept = 2

Step-by-step explanation:

the given equation: -8/3 x+4y=8

`\lbrack tex\rbrack( - 8)/(3)x+4y=8\lbrack/tex\rbrack`

To get the x intercept, we make y = 0.

`\begin{gathered} (-8x)/(3)+\text{ 4(0) = 8} \\ (-8x)/(3)\text{ = 8} \\ \text{cross multiply } \\ -8x\text{ = 8}*3 \\ -8x\text{ = 24} \\ x\text{ = 24/-8} \\ x\text{ = -3} \end{gathered}`

The x-intercept = -3

To get y intercept, we will make x = 0

`\begin{gathered} (-8(0))/(3)+\text{ 4y = 8} \\ 0\text{ + 4y = 8 } \\ 4y\text{ = 8 } \\ y\text{ = 8/4} \\ y\text{ = 2} \end{gathered}`

The y-intercept = 2