SOLUTION: what are the step to solving and graphing y+3=4(x+1)

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Question 254710: what are the step to solving and graphing y+3=4(x+1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y%2B3=4%28x%2B1%29 Start with the given equation.


y%2B3=4x%2B%284%29%281%29 Distribute 4


y%2B3=4x%2B4 Multiply 4 and 1 to get 4


y=4x%2B4-3 Subtract 3 from both sides to isolate y


y=4x%2B1 Combine like terms 4 and -3 to get 1



Now let's graph y=4x%2B1





Looking at y=4x%2B1 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=4 and the y-intercept is b=1


Since b=1 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 4, this means:

rise%2Frun=4%2F1


which shows us that the rise is 4 and the run is 1. This means that to go from point to point, we can go up 4 and over 1



So starting at , go up 4 units


and to the right 1 unit to get to the next point



Now draw a line through these points to graph y=4x%2B1

So this is the graph of y=4x%2B1 through the points and