Huey can wash 3 cars or mow 3 lawns in one hour. Dewey can wash 6 cars or mow 2 lawns in one hour. Louie can wash 6 cars or mow 3 lawns in one hour. Suppose they each work 6 hours in one day. Identify the total amount of each good produced by all three people assuming they each work the given combinations of hours. Enter whole numbers.

Alright
the points of f(x) are
(-1,-6)
(0,-3)
(1,0)

and g(x)=4x-5

A.
find f(x)'s slope
the slope of the line passing through the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
so 2 points are (0,-3) and (1,0), so the slope is (0-(-3))/(1-0)=(0+3)/(1)=3/1=3
the slope of f(x) is 3

g(x)'s slope
y=mx+b
m=slope
so, given
g(x)=4x-5
4 is the slope
g(x)'s slope is 4

B.
the y intercept is the value when x=0
for f(x)
remember: (x,y)
notice we have the point (0,-3)
so the y intercept of f(x) is y=-3

for g(x)
y=mx+b
b=y intercept
g(x)=4x-5
the y intercept of g(x) is y=-5

f(x) has the greater y intercept because -3>-5