SOLUTION: PLEASE HELP. . . THANK YOU! Graph x-4y=2.

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Question 95321: PLEASE HELP. . . THANK YOU!

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


1%2Ax-4%2Ay=2Start with the given equation



-4%2Ay=2-1%2Ax Subtract 1%2Ax from both sides

y=%28-1%2F4%29%282-1%2Ax%29 Multiply both sides by -1%2F4

y=%28-1%2F4%29%282%29%2B%281%2F4%29%281%29x%29 Distribute -1%2F4

y=-2%2F4%2B%281%2F4%29x Multiply

y=%281%2F4%29%2Ax-2%2F4 Rearrange the terms

y=%281%2F4%29%2Ax-1%2F2 Reduce any fractions

So the equation is now in slope-intercept form (y=mx%2Bb) where m=1%2F4 (the slope) and b=-1%2F2 (the y-intercept)

So to graph this equation lets plug in some points

Plug in x=-6

y=%281%2F4%29%2A%28-6%29-1%2F2

y=-6%2F4-1%2F2 Multiply

y=-8%2F4 Add

y=-2 Reduce

So here's one point (-6,-2)





Now lets find another point

Plug in x=-2

y=%281%2F4%29%2A%28-2%29-1%2F2

y=-2%2F4-1%2F2 Multiply

y=-4%2F4 Add

y=-1 Reduce

So here's another point (-2,-1). Add this to our graph





Now draw a line through these points

So this is the graph of y=%281%2F4%29%2Ax-1%2F2 through the points (-6,-2) and (-2,-1)


So from the graph we can see that the slope is 1%2F4 (which tells us that in order to go from point to point we have to start at one point and go up 1 units and to the right 4 units to get to the next point) the y-intercept is (0,-0.5) ,or (0,-1%2F2), and the x-intercept is (2,0) . So all of this information verifies our graph.


We could graph this equation another way. Since b=-1%2F2 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-1%2F2).


So we have one point (0,-1%2F2)






Now since the slope is 1%2F4, this means that in order to go from point to point we can use the slope to do so. So starting at (0,-1%2F2), we can go up 1 units


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



Now draw a line through those points to graph y=%281%2F4%29%2Ax-1%2F2


So this is the graph of y=%281%2F4%29%2Ax-1%2F2 through the points (0,-0.5) and (4,0.5)