Question

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

A (6, -1)
B (2, 8)
C (-5, 1)
D (1, 1)

Answer 1

Answer:
(6,-1)

Step-by-step explanation:
The slope of the line can be calculated using the following formula:
slope =
`(y2-y1)/(x2-x1)`

We are given that:
slope = -0.75
point (x1,y1) is (-2,5)

We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.

For point (6,-1):
slope =
`(-1-5)/(6--2)` = -0.75 ........> accepted choice

For point (2,8):
slope =
`(8-5)/(2--2)` = 0.75 ........> rejected choice

For point (-5,1):
slope =
`(1-5)/(-5--2)` = 4/3 ........> rejected choice

For point (1,1):
slope =
`(1-5)/(1--2)` = -4/3 ........> rejected choice

Therefore, the first option is the only correct one.

Hope this helps :)