SOLUTION: I need help Graphing the line. 1.y-5=1/2(x+4)

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Question 243734: I need help Graphing the line.
1.y-5=1/2(x+4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y-5=%281%2F2%29%28x%2B4%29 Start with the given equation.


y-5=%281%2F2%29x%2B%281%2F2%294 Distribute.


y-5=%281%2F2%29x%2B4%2F2 Multiply.


y-5=%281%2F2%29x%2B2 Reduce.


y=%281%2F2%29x%2B2%2B5 Add 5 to both sides.


y=%281%2F2%29x%2B7 Combine like terms.


Looking at y=%281%2F2%29x%2B7 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=1%2F2 and the y-intercept is b=7


Since b=7 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 1%2F2, this means:

rise%2Frun=1%2F2


which shows us that the rise is 1 and the run is 2. This means that to go from point to point, we can go up 1 and over 2



So starting at , go up 1 unit


and to the right 2 units to get to the next point



Now draw a line through these points to graph y=%281%2F2%29x%2B7

So this is the graph of y=%281%2F2%29x%2B7 through the points and