## Related questions with answers

Question

Find an equation for and sketch the graph of the level curve of the function ƒ(x, y) that passes through the given point.

$f ( x , y ) = \frac { 2 y - x } { x + y + 1 } , \quad ( - 1,1 )$

Solutions

VerifiedSolution A

Solution B

Answered 1 year ago

Step 1

1 of 3Answered 1 year ago

Step 1

1 of 3The procedure in this task is relatively straightforward. To find the level curve, we plug in the point we've been given into the expression for the function. The level curve is given by the equation:

$f(x,y)=c$

so by plugging in the given point we obtain $c$. After that, we simply equate the number $c$ once again with the entire expression for the function to obtain the equation for the level curve. After that, we can use CAS to draw the curve.

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