What is the slope and y-intercept in case of following cases representing lines?

f(x) passes through (2,2) and also through (0,4)
g(x) is given by y=3x4
h(x) represents apples sold on Monday as 4 and on Tuesday, it is 1
j(x) moves through points (2,2), (2,10), (6,221)

1 Answer
Sep 23, 2016

f(x) - slope is 3 and y-intercept is 4
g(x) - slope is 3 and y-intercept is 4
h(x) - slope is 3 and y-intercept is 4
j(x) - slope is 3 and y-intercept is 4

Explanation:

f(x) - This line passes through (2,2) and y-intercept is 4 i.e. it passes through (0,4). Hence its slope is 420(2)=62=3. Hence f(x) is given by y=3x4

g(x) - As give this is given by y=3x4, hence slope is 3 and intercept on y-axis is 4.

h(x) - here we assume that Monday is 0 and Tuesday is 1, hence as number of apples on 0 day is 4 and on 1 day is 1, the representative y intercept is 4 and slope is 1410=31=3.

j(x) - here as the x in function moves from 2 to 2 and then 6 and j(x) moves from 2 to 10 and then 22, the slope is 10(2)2(2)=124=3 also 221062=124=3. For y-intercept, we can take mid point of 2 and 2, where j(x)=10+(2)2=82=4 and y-intercept is 4