Question

The slope of a line passing through H (-2,5) is -3/4. Which ordered pair represents a point in this line

(6,-1)
(2,8)
(-5,1)
(1,1)

PLEASE HELP!!!

Answer 1

(6,-1)

Explanation:

The ordered pair on the line will have the same slope. To find this, substitute the original point (-2,5) and each listed point into the slope formula. Simplify to see if the slope is the same.

`m = (y_2-y_1)/(x_2-x_1) = (-1 - 5)/(6 --2) = (-6)/(8) = -(3)/(4)`

The pair (2,8) gives a slope of 3/4.

The pair (-5,1) gives a slope of 4/3.

The pair (1,1) gives a slope of -4/3.

The solution is (6,-1).