SOLUTION: Graph the following equations. Calculate the slope, x-intercept and y-intercept, and label the intercepts on the graph. y = x + 3.

Question 131376: Graph the following equations. Calculate the slope, x-intercept and y-intercept, and label the intercepts on the graph.
y = x + 3.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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

So starting at

, go up 1 unit

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

Notice how the x-intercept is (-3,0) and the y-intercept is (0,3)
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