anilnandyala
if k is a line in xy-plane , what is the slope of k?
1) x intercept of k is 2
2) y intercept of k is 3
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.htmlHope it helps.