Find the Domain and Range 5y-4x=0

$5 y - 4 x = 0$

Step 1

Add $4 x$ to both sides of the equation.

$5 y = 4 x$

Step 2

Divide each term in $5 y = 4 x$ by $5$ and simplify.

Divide each term in $5 y = 4 x$ by $5$ .

$\frac{5 y}{5} = \frac{4 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{4 x}{5}$

Divide $y$ by $1$ .

$y = \frac{4 x}{5}$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 4

The range is the set of all valid $y$ values. Use the graph to find the range.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${y | y \in ℝ}$

Step 5

Determine the domain and range.

Domain: $(- \infty, \infty), {x | x \in ℝ}$

Range: $(- \infty, \infty), {y | y \in ℝ}$

Step 6

Find the Domain and Range 5y-4x=0

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