Determine if Linear y-2=-5(x-2)

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Algebra

$y - 2 = - 5 (x - 2)$

Solve the equation for $y$ .

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Simplify $- 5 (x - 2)$ .

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Apply the distributive property.

$y - 2 = - 5 x - 5 \cdot - 2$

Multiply $- 5$ by $- 2$ .

$y - 2 = - 5 x + 10$

Move all terms not containing $y$ to the right side of the equation.

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Add $2$ to both sides of the equation.

$y = - 5 x + 10 + 2$

Add $10$ and $2$ .

$y = - 5 x + 12$

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

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