Calculus Examples

$- \frac{2 x}{y}$ , $(2, - 2)$

Step 1

Write $- \frac{2 x}{y}$ as a function.

$f (x) = - \frac{2 x}{y}$

Step 2

Check if the given point is on the graph of the given function.

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Step 2.1

Evaluate $f (x) = - \frac{2 x}{y}$ at $x = 2$ .

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Step 2.1.1

Replace the variable $x$ with $2$ in the expression.

$f (2) = - \frac{2 (2)}{y}$

Step 2.1.2

Simplify the result.

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Step 2.1.2.1

Multiply $2$ by $2$ .

$f (2) = - \frac{4}{y}$

Step 2.1.2.2

The final answer is $- \frac{4}{y}$ .

$- \frac{4}{y}$

Step 2.2

Since $- \frac{4}{y}$ $\neq$ $- 2$ , the point is not on the graph.

The point is not on the graph

Step 3