The description below represents Function A and the table represents Function B:

Question

Function A

The function is 2 more than 5 times x.

Function B

x y
-1 2
0 5
1 8

Which statement is correct about the slope and intercept of the two functions?

Their slopes are equal but y-intercepts are not equal.

Their slopes are not equal but y-intercepts are equal.

Both slopes and y-intercepts are equal.

Neither slopes nor y-intercepts are equal.

Answer 1

Function A: F(x) - 5x + 2.

Function B: F(x) = mx + b.

P1(-1,2), P2(1,8).
m = (y2-y1)/(x2-x1) = (8-2)/(1-(-1) = 6/2 = 3.

Y = mx + b.
2 = 3*(-1) + b
b = 5.

Function B: F(x) = 3x + 5.