SOLUTION: Graph the following linear equation: -x+10y=11 I have done this problem twice already and still can not come up with a correct answer!! HELP!! Thank you in advance!

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Question 184101: Graph the following linear equation:
-x+10y=11
I have done this problem twice already and still can not come up with a correct answer!! HELP!! Thank you in advance!

Found 3 solutions by jim_thompson5910, ptaylor, josmiceli:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: Graphing Linear Equations


Start with the given equation



Add to both sides

Multiply both sides by

Distribute

Multiply

Rearrange the terms

Reduce any fractions

So the equation is now in slope-intercept form () where (the slope) and (the y-intercept)

So to graph this equation lets plug in some points

Plug in x=-1



Multiply

Add

Reduce

So here's one point (-1,1)





Now lets find another point

Plug in x=9



Multiply

Add

Reduce

So here's another point (9,2). Add this to our graph





Now draw a line through these points

So this is the graph of through the points (-1,1) and (9,2)


So from the graph we can see that the slope is (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 10 units to get to the next point) the y-intercept is (0,) ,or (0,), and the x-intercept is (,0) . So all of this information verifies our graph.


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


So we have one point (0,)






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


and to the right 10 units to get to our next point



Now draw a line through those points to graph


So this is the graph of through the points (0,1.1) and (10,2.1)

Answer by ptaylor(2198)   (Show Source): You can put this solution on YOUR website!
Graph the following linear equation:
-x+10y=11
If x=0, then y=11/10=1.1 So one point on the line is(0,1.1)
If y=0, then x=-11. So another point on the line is (-11,0)
Since this is a straight line, the above two points are all you need to graph it.

Hope this helps---ptaylor

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

In order to see important features, put it
in the slope-intercept form,
= slope
= y intercept

Add to both sides

Divide both sides by



I can find the x-intercept by setting


Multiply both sides by


That gives me 2 points and the slope
Here's the plot

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