SOLUTION: y=-3/2x

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Question 114155: y=-3/2x
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: PLOT any graph
Graphing function -%283%2F2%29x:

graph%28+600%2C+600%2C+-20%2C+20%2C+-20%2C+20%2C+-%283%2F2%29x+%29



Here is another way with more details included

Solved by pluggable solver: Graphing Linear Equations
In order to graph y=-1.5%2Ax%2B0 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-6

y=-1.5%2A%28-6%29%2B0

y=9%2B0 Multiply

y=9 Add

So here's one point (-6,9)




Now lets find another point

Plug in x=-4

y=-1.5%2A%28-4%29%2B0

y=6%2B0 Multiply

y=6 Add

So here's another point (-4,6). Add this to our graph





Now draw a line through these points

So this is the graph of y=-1.5%2Ax%2B0 through the points (-6,9) and (-4,6)


So from the graph we can see that the slope is -1.5%2F1 (which tells us that in order to go from point to point we have to start at one point and go down -1.5 units and to the right 1 units to get to the next point), the y-intercept is (0,0)and the x-intercept is (0,0)


We could graph this equation another way. Since b=0 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,0).


So we have one point (0,0)





Now since the slope is -1.5%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,0), we can go down 1.5 units



and to the right 1 units to get to our next point


Now draw a line through those points to graph y=-1.5%2Ax%2B0


So this is the graph of y=-1.5%2Ax%2B0 through the points (0,0) and (1,-1.5)