SOLUTION: y=-2/3x-4 i would like to know how to graph this linear equation

Algebra ->  Linear-equations -> SOLUTION: y=-2/3x-4 i would like to know how to graph this linear equation      Log On


   

Question 603875: y=-2/3x-4 i would like to know how to graph this linear equation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Looking at y=-%282%2F3%29x-4 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-2%2F3 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%2F3, this means:

rise%2Frun=-2%2F3


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



So starting at , go down 2 units


and to the right 3 units to get to the next point



Now draw a line through these points to graph y=-%282%2F3%29x-4

So this is the graph of y=-%282%2F3%29x-4 through the points and