Linear Relationships, SMB-001 MC
Functions, 2ADV F1 2017 HSC 1 MC
What is the gradient of the line `2x + 3y + 4 = 0`?
- `-2/3`
- `2/3`
- `-3/2`
- `3/2`
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Leo drew a straight line through the points (0, 5) and (3, -2) as shown in the diagram below.
What is the gradient of the line that Leo drew?
`-7/3`
`text{Line passes through (0, 5) and (3, – 2)}`
`text(Gradient)` | `= (y_2-y_1)/(x_2-x_1)` |
`= (5-(-2))/(0-3)` | |
`= -7/3` |
What is the gradient of the line `2x + 3y + 4 = 0`?
`A`
`2x + 3y + 4` | `= 0` |
`3y` | `= -2x-4` |
`y` | `= -2/3 x-4/3` |
`:.\ text(Gradient)` | `= -2/3` |
`=> A`