The graph of the rational function
y = (ax - b)/(-2x + c)
is as shown below. If x_1 = 5 and y_1 = 4, then what is a + b + c?
+128472 We have a vertical asymptote at x = 5
This means that -2(5) + c = 0 so c = 10
Since we have a horizontal asymptote at y =4.....this means that (a/-2) = 4 so a = -8
Also....it appears that the point (0,0) is on the graph
So -8(0) + b = 0 means that b = 0
So
a + b + c = -8 + 0 + 10 = 2
