SOLUTION: How do you graph this equation: y-2=-2(x + 3)

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Question 690753: How do you graph this equation: y-2=-2(x + 3)
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
y-2=-2(x + 3)

y-2=-2x - 6

y=-2x - 6 + 2

y=-2x - 4

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 -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1

So starting at , go down 2 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