SOLUTION: #24.) y=2.5x I have to identify the type of function represented by each equation. Then graph the equation. Thank you for your help :)

Algebra ->  Rational-functions -> SOLUTION: #24.) y=2.5x I have to identify the type of function represented by each equation. Then graph the equation. Thank you for your help :)      Log On


   

Question 143387: #24.)
y=2.5x I have to identify the type of function represented by each equation. Then graph the equation.
Thank you for your help :)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is a linear equation


y=2.5x Start with the given equation



y=%285%2F2%29x Rewrite 2.5 as 5%2F2




Looking at y=%285%2F2%29x we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=5%2F2 and the y-intercept is b=0 note: y=%285%2F2%29x really looks like y=%285%2F2%29x%2B0


Since b=0 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 5%2F2, this means:

rise%2Frun=5%2F2


which shows us that the rise is 5 and the run is 2. This means that to go from point to point, we can go up 5 and over 2



So starting at , go up 5 units


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



Now draw a line through these points to graph y=%285%2F2%29x

So this is the graph of y=%285%2F2%29x through the points and