What is the slope and intercept for #y=1/2x3# and how would you graph it?
1 Answer
slope = 1/2, yint = 3.
Explanation:
We know that straight lines use equation:
where m is the slope and b is the yintercept.
If y is by itself on one side of the equals sign, then slope is always the number in front of x, and the yintecept is always the number by itself (without an x)
In this case:
and
The graph looks like this:
graph{y=.5x3 [10, 10, 5, 5]}
How do you make the graph? Pick an x value, plug into the equation, and then see what y you get. Put that (x,y) point on the graph. Do this for a few points and then connect the dots.
ex:

x=0
#y = (1/2 \times 0 ) 3#
#y = 3#
#(x,y) = (0, 3)# 
x=1
#y = (1/2 \times 1 ) 3#
#y = 1/2 3#
#y = 2.5#
#(x,y) =(1,  2.5)# 
x=6
#y = (1/2 \times 6 ) 3#
#y = 3 3#
#y = 0#
#(x,y) =(6, 0)#