SOLUTION: would you help me to solve this: Graph y=3/4*x-4

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Question 88964: would you help me to solve this:
Graph y=3/4*x-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Graphing Linear Equations
In order to graph y=%283%2F4%29%2Ax-4 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=-4

y=%283%2F4%29%2A%28-4%29-4

y=-12%2F4-4 Multiply

y=-28%2F4 Add

y=-7 Reduce

So here's one point (-4,-7)




Now lets find another point

Plug in x=0

y=%283%2F4%29%2A%280%29-4

y=0%2F4-4 Multiply

y=-16%2F4 Add

y=-4 Reduce

So here's another point (0,-4). Add this to our graph





Now draw a line through these points

So this is the graph of y=%283%2F4%29%2Ax-4 through the points (-4,-7) and (0,-4)


So from the graph we can see that the slope is 3%2F4 (which tells us that in order to go from point to point we have to start at one point and go up 3 units and to the right 4 units to get to the next point) the y-intercept is (0,-4)and the x-intercept is (5.33333333333333,0) ,or (16%2F3,0)


We could graph this equation another way. Since b=-4 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-4).


So we have one point (0,-4)





Now since the slope is 3%2F4, this means that in order to go from point to point we can use the slope to do so. So starting at (0,-4), we can go up 3 units



and to the right 4 units to get to our next point


Now draw a line through those points to graph y=%283%2F4%29%2Ax-4


So this is the graph of y=%283%2F4%29%2Ax-4 through the points (0,-4) and (4,-1)