SOLUTION: graph the linear equation f(x)=2/5x-4

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Question 770222: graph the linear equation f(x)=2/5x-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Looking at y=%282%2F5%29x-4 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=2%2F5 and the y-intercept is b=-4


Since b=-4 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 2%2F5, this means:

rise%2Frun=2%2F5


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



So starting at , go up 2 units


and to the right 5 units to get to the next point



Now draw a line through these points to graph y=%282%2F5%29x-4

So this is the graph of y=%282%2F5%29x-4 through the points and