Coordinate Geometry: Slope
The slope of line $$m$$ is -1. If line $$m$$ passes through point (9,4), what are the coordinates of the _x_-intercept of line $$m$$?
Correct.
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Use the slope formula using the two points $$(9{,} \ 4)$$ and $$(x{,} \ 0)$$, where $$x$$ is the _x_-coordinate of the _x_-intercept.
>$$\text{Slope} = \frac{4-0}{9-x}$$
Set this equal to -1:
>$$\frac{4}{9-x} = -1$$
To solve for $$x$$, multiply by $$9-x$$:
>$$4=-(9-x)$$
>$$4 =x-9$$
>$$13 = x$$
Therefore, the _x_-intercept is (13, 0).
Incorrect.
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This answer choice can be eliminated on sight because its _y_-coordinate is not 0. Don't make careless mistakes. Use __POE__.
Incorrect.
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This answer choice can be eliminated on sight because its _y_-coordinate is not 0. Don't make careless mistakes; use __POE__.
Incorrect.
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Incorrect.
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(0,13)
(0,-5)
(13,0)
(5,0)
(-5,0)
