SOLUTION: Graph 4x-2y=10

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Question 117171: Graph 4x-2y=10
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Graphing Linear Equations


4%2Ax-2%2Ay=10Start with the given equation



-2%2Ay=10-4%2Ax Subtract 4%2Ax from both sides

y=%28-1%2F2%29%2810-4%2Ax%29 Multiply both sides by -1%2F2

y=%28-1%2F2%29%2810%29%2B%281%2F2%29%284%29x%29 Distribute -1%2F2

y=-10%2F2%2B%284%2F2%29x Multiply

y=%284%2F2%29%2Ax-10%2F2 Rearrange the terms

y=2%2Ax-5 Reduce any fractions

So the equation is now in slope-intercept form (y=mx%2Bb) where m=2 (the slope) and b=-5 (the y-intercept)

So to graph this equation lets plug in some points

Plug in x=-2

y=2%2A%28-2%29-5

y=-4-5 Multiply

y=-9 Add

So here's one point (-2,-9)





Now lets find another point

Plug in x=-1

y=2%2A%28-1%29-5

y=-2-5 Multiply

y=-7 Add

So here's another point (-1,-7). Add this to our graph





Now draw a line through these points

So this is the graph of y=2%2Ax-5 through the points (-2,-9) and (-1,-7)


So from the graph we can see that the slope is 2%2F1 (which tells us that in order to go from point to point we have to start at one point and go up 2 units and to the right 1 units to get to the next point) the y-intercept is (0,-5)and the x-intercept is (2.5,0) ,or (5%2F2,0) . So all of this information verifies our graph.


We could graph this equation another way. Since b=-5 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-5).


So we have one point (0,-5)






Now since the slope is 2%2F1, this means that in order to go from point to point we can use the slope to do so. So starting at (0,-5), we can go up 2 units


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



Now draw a line through those points to graph y=2%2Ax-5


So this is the graph of y=2%2Ax-5 through the points (0,-5) and (1,-3)

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
4X-2Y=10
-2Y=-4X+10
Y=-4X/-2+10/-2
Y=2X-5 [STANDARD LINE EQUATION]
SET Y=0 WE GET 0=2X-5 OR 2X=5 OR X=2.5 (2.5,0)
SET X=0 WE GET Y=2*0-5 OR Y=-5 (0,-5)
NOW PLOT THESE 2 POINTS (2.5,0) & (0,-5) THEN DRAW A LINE BETWEEN THEM WITH A SLOPE (m)=2 & you get.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+2x+-5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 2x -5).