SOLUTION: Find the x- and y- intercept of the line. -2x+7y=14

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Question 557462: Find the x- and y- intercept of the line.
-2x+7y=14
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%2B7y=14 Start with the given equation.


-2x%2B7%280%29=14 Plug in y=0.


-2x%2B0=14 Multiply 7 and 0 to get 0.


-2x=14 Simplify.


x=%2814%29%2F%28-2%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%2B7y=14 Start with the given equation.


-2%280%29%2B7y=14 Plug in x=0.


-0%2B7y=14 Multiply -2 and 0 to get 0.


7y=14 Simplify.


y=%2814%29%2F%287%29 Divide both sides by 7 to isolate y.


y=2 Reduce.


So the y-intercept is .

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