SOLUTION: HOW DO YOU GRAPH y=-2x+1 and y=3x

Question 702229: HOW DO YOU GRAPH y=-2x+1 and y=3x

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Lets graph each one at a time

Graphing y=-2x+1

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 down 2 and over 1

So starting at

, go down 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

=========================================================================
Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is note: really looks like

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 3 and the run is 1. This means that to go from point to point, we can go up 3 and over 1

So starting at

, go up 3 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

===========================================================================

Now let's graph the two together

Graph of y = -2x+1 (green) and y = 3x (blue)
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