Question

1.Which function below has the lowest y-intercept?. A.f(x) B.graph going through (0,5) and (4, 3). C. g(x). . 2.Kyle started the summer having read 3 books but plans to read 6 books per month over the summer. A.h(x) B.h(x) = 3x + 4. C.f(x). D.g(x). E. h(x). . Note: The functions all have the same y-intercept.

Answer 1

Y = mx + b

where mx is the slope and b is the y-intercept

f(x) ⇒⇒ (0,5) & (4,3)
y = mx + b
5 = m(0) + b ⇒ b or y-intercept is = 5

3 = m(4) + b
3 = m(4) + 5
3 - 5 = m(4)
-2 = m(4)
-2/4 = m 
-1/2 = m

y = mx + b ; b is the y-intercept.
h(x) = 3x + 4
h(x) has 4 as the y-intercept

y = mx + b
g(x) = mx + b
3 = m(0) + b
b = 3 

f(x) has 5 as the y-intercept
g(x) has 3 as the y-intercept
h(x) has 4 as the y-intercept

g(x) has the lowest y-intercept