What is the slope and intercept for #y=1/2x-3# and how would you graph it?
1 Answer
slope = 1/2, y-int = -3.
Explanation:
We know that straight lines use equation:
where m is the slope and b is the y-intercept.
If y is by itself on one side of the equals sign, then slope is always the number in front of x, and the y-intecept is always the number by itself (without an x)
In this case:
and
The graph looks like this:
graph{y=.5x-3 [-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)#
