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

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


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

Looking at y=x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=1 and the y-intercept is b=3


Since b=3 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
slope=rise%2Frun

Also, because the slope is 1, this means:

rise%2Frun=1%2F1


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 y=x%2B3

So this is the graph of y=x%2B3 through the points and

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