SOLUTION: I am really stuck on this math homework problem i got the rest but not this one. How do you graph this equation by using the slope and a point on the line. this is the question y-2

Question 129494: I am really stuck on this math homework problem i got the rest but not this one. How do you graph this equation by using the slope and a point on the line. this is the question y-2=3(x-5)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Distribute

Multiply and to get

Add 5 to both sides to isolate y

Combine like terms and to get

Now let's graph

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

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