SOLUTION: How would you graph 2x-7y=14

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Question 583707: How would you graph 2x-7y=14
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To plot this graph, we just need two points. So let's find the x and y intercepts.

x-intercept


To find the x-intercept, plug in y=0 and solve for x


2x-7y=14 Start with the given equation.


2x-7%280%29=14 Plug in y=0.


2x-0=14 Multiply -7 and 0 to get 0.


2x=14 Simplify.


x=%2814%29%2F%282%29 Divide both sides by 2 to isolate x.


x=7 Reduce.


So the x-intercept is .


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y-intercept


To find the y-intercept, plug in x=0 and solve for y


2x-7y=14 Start with the given equation.


2%280%29-7y=14 Plug in x=0.


0-7y=14 Multiply 2 and 0 to get 0.


-7y=14 Simplify.


y=%2814%29%2F%28-7%29 Divide both sides by -7 to isolate y.


y=-2 Reduce.


So the y-intercept is .


Now let's plot the points and which are the x and y intercepts respectively.





Now draw a straight line through the plotted points to graph 2x-7y=14.


Graph of 2x-7y=14

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Thank you,
Jim