9514 1404 393
Answer:
d. 2
Step-by-step explanation:
The point-slope form of the equation for the line can make use of the given slope and point:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -3 = 1/4(x +2) . . . . line with slope 1/4 through point (-2, 3)
Filling in the unknown point values, we have ...
4 -3 = 1/4(r +2)
4 = r + 2
2 = r
_____
Alternate solution
The way the question is worded, you seem to be expected to use the slope formula.
m = (y2 -y1)/(x2 -x1)
For the given points and slope, you have ...
1/4 = (3 -4)/(-2 -r)
-2 -r = 4(-1) . . . cross multiply
2 = r . . . . . . . . add r+4 to both sides
