Answer:
(6,-1)
Explanation:
The slope of the line can be calculated using the following formula:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]
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 = [tex] \frac{-1-5}{6--2} [/tex] = -0.75 ........> accepted choice
For point (2,8):
slope = [tex] \frac{8-5}{2--2} [/tex] = 0.75 ........> rejected choice
For point (-5,1):
slope = [tex] \frac{1-5}{-5--2} [/tex] = 4/3 ........> rejected choice
For point (1,1):
slope = [tex] \frac{1-5}{1--2} [/tex] = -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)
