Which of the following could be the graph of `y= -2 x+2`?
Algebra, STD2 A4 SM-Bank 6 MC
Functions, 2ADV F1 2018 HSC 3 MC
What is the `x`-intercept of the line `x + 3y + 6 = 0`?
- `(-6, 0)`
- `(6, 0)`
- `(0, -2)`
- `(0, 2)`
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`
Functions, 2ADV F1 2016 HSC 12a
Functions, 2ADV F1 2007 HSC 1f
Find the equation of the line that passes through the point `(1, 3)` and is perpendicular to `2x + y + 4 = 0`. (2 marks)
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Functions, 2ADV F1 2015 HSC 2 MC
What is the slope of the line with equation `2x - 4y + 3 = 0`?
(A) `-2`
(B) `-1/2`
(C) `1/2`
(D) `2`
Functions, 2ADV F1 2014 HSC 5 MC
Which equation represents the line perpendicular to `2x-3y = 8`, passing through the point `(2, 0)`?
- `3x + 2y = 4`
- `3x + 2y = 6`
- `3x-2y = –4`
- `3x-2y = 6`
Functions, 2ADV F1 2009 HSC 5a
In the diagram, the points `A` and `C` lie on the `y`-axis and the point `B` lies on the `x`-axis. The line `AB` has equation `y = sqrt3x − 3`. The line `BC` is perpendicular to `AB`.
- Find the equation of the line `BC`. (2 marks)
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- Find the area of the triangle `ABC`. (2 marks)
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Functions, 2ADV F1 2009 HSC 1a
Sketch the graph of `y-2x = 3`, showing the intercepts on both axes. (2 marks)
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