Question

Find the slope of the line that contains the points named. x(2, -1), y(0, 4) 5/2 2/5 -5/2

Answer 1

Answer:  The correct option is (D) $-\dfrac{5}{2}.$

Step-by-step explanation:  We are given to find the slope of the line that contain the points x(2, -1) and y(0, 4).

We know that

the slope of a line that contain the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

Therefore, the slope of the given line will be

$m=\dfrac{4-(-1)}{0-2}=\dfrac{4+1}{-2}=-\dfrac{5}{2}.$

Thus, the slope of the given line is $-\dfrac{5}{2}.$

Option (D) is CORRECT.

Answer 2

Slope = (y2 - y1) / (x2 - x1)
(2,-1)(0,4)
slope = (4 - (-1) / (0 - 2) = (4 + 1) / -2 = 5/-2 = -5/2