SOLUTION: Graph the equation: y - 6 = 3(x-4) Please and thank you!

Question 244697: Graph the equation:
y - 6 = 3(x-4)
Please and thank you!
Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The first subgoal is to solve for 'y'

Start with the given equation.

Distribute.

Add 6 to both sides.

Combine like terms.

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
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
y - 6 = 3(x-4)
y-6=3x-12
y=3x-12+6
y=3x-6 ans.
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x -6).
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