SOLUTION: 2x-5y=10 Find the x- and y intercepts of the graph.

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Question 189703This question is from textbook elementary intermediate algebra
: 2x-5y=10
Find the x- and y intercepts of the graph. This question is from textbook elementary intermediate algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
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x-intercept


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


2x-5y=10 Start with the given equation.


2x-5%280%29=10 Plug in y=0.


2x-0=10 Multiply -5 and 0 to get 0.


2x=10 Simplify.


x=%2810%29%2F%282%29 Divide both sides by 2 to isolate x.


x=5 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-5y=10 Start with the given equation.


2%280%29-5y=10 Plug in x=0.


0-5y=10 Multiply 2 and 0 to get 0.


-5y=10 Simplify.


y=%2810%29%2F%28-5%29 Divide both sides by -5 to isolate y.


y=-2 Reduce.


So the y-intercept is .


Notice that if we graph the equation 2x-5y=10, we can see that the graph has the x-intercept and the y-intercept


Graph of 2x-5y=10