SOLUTION: -6x-8y=-48

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Question 704554: -6x-8y=-48
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Graphing Linear Equations


-6%2Ax-8%2Ay=-48Start with the given equation



-8%2Ay=-48%2B6%2Ax Add 6%2Ax to both sides

y=%28-1%2F8%29%28-48%2B6%2Ax%29 Multiply both sides by -1%2F8

y=%28-1%2F8%29%28-48%29%2B%281%2F8%29%28-6%29x%29 Distribute -1%2F8

y=48%2F8-%286%2F8%29x Multiply

y=%28-6%2F8%29%2Ax%2B48%2F8 Rearrange the terms

y=%28-3%2F4%29%2Ax%2B6 Reduce any fractions

So the equation is now in slope-intercept form (y=mx%2Bb) where m=-3%2F4 (the slope) and b=6 (the y-intercept)

So to graph this equation lets plug in some points

Plug in x=-4

y=%28-3%2F4%29%2A%28-4%29%2B6

y=12%2F4%2B6 Multiply

y=36%2F4 Add

y=9 Reduce

So here's one point (-4,9)





Now lets find another point

Plug in x=0

y=%28-3%2F4%29%2A%280%29%2B6

y=0%2F4%2B6 Multiply

y=24%2F4 Add

y=6 Reduce

So here's another point (0,6). Add this to our graph





Now draw a line through these points

So this is the graph of y=%28-3%2F4%29%2Ax%2B6 through the points (-4,9) and (0,6)


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 down -3 units and to the right 4 units to get to the next point), the y-intercept is (0,6)and the x-intercept is (8,0) . So all of this information verifies our graph.


We could graph this equation another way. Since b=6 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,6).


So we have one point (0,6)






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 (0,6), we can go down 3 units


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



Now draw a line through those points to graph y=%28-3%2F4%29%2Ax%2B6


So this is the graph of y=%28-3%2F4%29%2Ax%2B6 through the points (0,6) and (4,3)