SOLUTION: how do you graph an linear equation ?
Algebra
->
Coordinate Systems and Linear Equations
-> SOLUTION: how do you graph an linear equation ?
Log On
Linear Solvers
Linear
Practice
Practice
Answers archive
Answers
Word Problems
Word
Lessons
Lessons
In depth
In
Click here to see ALL problems on Linear-systems
Question 549940
:
how do you graph an linear equation ?
Answer by
jim_thompson5910(35256)
(
Show Source
):
You can
put this solution on YOUR website!
Simply plot two points and draw a line that goes through them to graph the linear equation.
Let's graph
as an example
Looking at
we can see that the equation is in slope-intercept form
where the slope is
and the y-intercept is
Since
this tells us that the y-intercept is
.Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is
, this means:
which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1
So starting at
, go up 2 units
and to the right 1 unit to get to the next point
Now draw a line through these points to graph
So this is the graph of
through the points
and