If k is a line in the xy-plane, what is the slope of k ?

The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line.

There are several ways to find the slope of a line. One of them: given two points \((x_1,y_1)\) and \((x_2,y_2)\) on a line, the slope \(m\) of the line is:

\(m=\frac{y_2-y_1}{x_2-x_1}\).

So knowing two points of a line is sufficient to find the slope.

(1) x intercept of k is 2 --> we have one point (2,0). Not sufficient.
(2) y intercept of k is 3 --> we have another point (0,3), still not sufficient.

(1)+(2) We have two points of line k, so we can find the slope. Sufficient.

Answer C.

For more check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html

Hope it helps.
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Well it is clear now! Thanks again!

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