Answer:
d = -9
Explanation:
The slope of the line can be calculated using the following formula:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]
We are given:
slope = [tex] \frac{1}{4} [/tex]
point (9,-8) representing (x1,y1)
point (5,d) representing (x2,y2)
Substitute with the givens in the above equation and solve for d as follows:
slope = [tex] \frac{1}{4} [/tex]
[tex] \frac{1}{4} [/tex] = [tex] \frac{d-(-8)}{5-9} [/tex]
[tex] \frac{1}{4} [/tex] = [tex] \frac{d+8}{-4} [/tex]
4(d+8) = -4
d + 8 = -1
d = -1 - 8
d = -9
Hope this helps :)
