- Express the function `5y-3x=15` in the form `y=mx+b`. (1 mark)
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- Shade the region defined by `5y-3x>15` on the graph below and verify your result. (3 marks)
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Show Answers Only
i. `y=3/5x+3`
ii.
`text{Test}\ (0,0):`
`5(0)-3(0)>15\ \ =>\ \ 0<15\ \ text{(incorrect)}`
Show Worked Solution
| i. | `5y-3x` | `=15` |
| `5y` | `=3x+15` | |
| `y` | `=3/5x+3` |
ii. `xtext{-intercept occurs when}\ y=0:`
`5(0)-3x=15\ \ =>\ \ x=-5`
`ytext{-intercept at}\ \ y=3`
`text{Test}\ (0,0):`
`5(0)-3(0)>15\ \ =>\ \ 0>15\ \ text{(Incorrect – not in shaded area.)}`