SOLUTION: The linear equation y = 3x – 5 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below).

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Question 145231: The linear equation y = 3x – 5 graphs as a horizontal/vertical/diagonal line (choose the correct label and type it below).
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let's graph the equation




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 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



So we can see that the graph is a diagonal line.

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