Determine if Linear 2x-5y=10

$2 x - 5 y = 10$

Step 1

Solve the equation for $y$ .

Subtract $2 x$ from both sides of the equation.

$- 5 y = 10 - 2 x$

Divide each term in $- 5 y = 10 - 2 x$ by $- 5$ and simplify.

Divide each term in $- 5 y = 10 - 2 x$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{10}{- 5} + \frac{- 2 x}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{10}{- 5} + \frac{- 2 x}{- 5}$

Divide $y$ by $1$ .

$y = \frac{10}{- 5} + \frac{- 2 x}{- 5}$

Simplify the right side.

Simplify each term.

Divide $10$ by $- 5$ .

$y = - 2 + \frac{- 2 x}{- 5}$

Dividing two negative values results in a positive value.

$y = - 2 + \frac{2 x}{5}$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ and the degree of variable $x$ is $1$ .

Linear

Determine if Linear 2x-5y=10

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