What is the slope and intercept for y=12x−3 and how would you graph it?
1 Answer
Oct 10, 2015
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=(12×0)−3
y=−3
(x,y)=(0,−3) -
x=1
y=(12×1)−3
y=12−3
y=−2.5
(x,y)=(1,−2.5) -
x=6
y=(12×6)−3
y=3−3
y=0
(x,y)=(6,0)
