SOLUTION: Draw the graph of y=(3/2)x - 4 using only the slope and the y-intercept.

Algebra ->  Graphs -> SOLUTION: Draw the graph of y=(3/2)x - 4 using only the slope and the y-intercept.      Log On


   

Question 134198: Draw the graph of y=(3/2)x - 4 using only the slope and the y-intercept.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Looking at y=%283%2F2%29x-4 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=3%2F2 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 3%2F2, this means:

rise%2Frun=3%2F2


which shows us that the rise is 3 and the run is 2. This means that to go from point to point, we can go up 3 and over 2



So starting at , go up 3 units


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



Now draw a line through these points to graph y=%283%2F2%29x-4

So this is the graph of y=%283%2F2%29x-4 through the points and