SOLUTION: The instructions are: Use the point plotting method to graph the following equation and identify the slope. (This problem was made up by the instructor for homework.) -5x + 10

Algebra ->  Graphs -> SOLUTION: The instructions are: Use the point plotting method to graph the following equation and identify the slope. (This problem was made up by the instructor for homework.) -5x + 10      Log On


   

Question 202056: The instructions are: Use the point plotting method to graph the following equation and identify the slope. (This problem was made up by the instructor for homework.)
-5x + 10y = 20
Thank you for your help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-5x%2B10y=20 Start with the given equation.


10y=20--5x Add 5x to both sides.


10y=--5x%2B20 Rearrange the terms.


y=%28--5x%2B20%29%2F%2810%29 Divide both sides by 10 to isolate y.


y=%28%28--5%29%2F%2810%29%29x%2B%2820%29%2F%2810%29 Break up the fraction.


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



Looking at y=%281%2F2%29x%2B2 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=2


Since b=2 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%2B2

So this is the graph of y=%281%2F2%29x%2B2 through the points and