Algebra Examples

$Y - 2 = 2 (X - 3)$

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

$Y - 2 = 2 (X - 3)$

Step 2

Solve the equation for $y$ .

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Step 2.1

Simplify $2 (X - 3)$ .

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Step 2.1.1

Rewrite.

$Y - 2 = 0 + 0 + 2 (X - 3)$

Step 2.1.2

Simplify by adding zeros.

$Y - 2 = 2 (X - 3)$

Step 2.1.3

Apply the distributive property.

$Y - 2 = 2 X + 2 \cdot - 3$

Step 2.1.4

Multiply $2$ by $- 3$ .

$Y - 2 = 2 X - 6$

Step 2.2

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

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Step 2.2.1

Add $2$ to both sides of the equation.

$Y = 2 X - 6 + 2$

Step 2.2.2

Add $- 6$ and $2$ .

$Y = 2 X - 4$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

$Y - 2 = 2 (X - 3)$

Step 4

Solve the equation for $y$ .

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Step 4.1

Simplify $2 (X - 3)$ .

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Step 4.1.1

Rewrite.

$Y - 2 = 0 + 0 + 2 (X - 3)$

Step 4.1.2

Simplify by adding zeros.

$Y - 2 = 2 (X - 3)$

Step 4.1.3

Apply the distributive property.

$Y - 2 = 2 X + 2 \cdot - 3$

Step 4.1.4

Multiply $2$ by $- 3$ .

$Y - 2 = 2 X - 6$

Step 4.2

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

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Step 4.2.1

Add $2$ to both sides of the equation.

$Y = 2 X - 6 + 2$

Step 4.2.2

Add $- 6$ and $2$ .

$Y = 2 X - 4$

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$Y - 2 = 2 (X - 3)$

Step 6

Solve the equation for $y$ .

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Step 6.1

Simplify $2 (X - 3)$ .

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Step 6.1.1

Rewrite.

$Y - 2 = 0 + 0 + 2 (X - 3)$

Step 6.1.2

Simplify by adding zeros.

$Y - 2 = 2 (X - 3)$

Step 6.1.3

Apply the distributive property.

$Y - 2 = 2 X + 2 \cdot - 3$

Step 6.1.4

Multiply $2$ by $- 3$ .

$Y - 2 = 2 X - 6$

Step 6.2

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

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Step 6.2.1

Add $2$ to both sides of the equation.

$Y = 2 X - 6 + 2$

Step 6.2.2

Add $- 6$ and $2$ .

$Y = 2 X - 4$

Step 7

Substitute $1$ for $x$ and find the result for $y$ .

$Y - 2 = 2 (X - 3)$

Step 8

Solve the equation for $y$ .

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Step 8.1

Simplify $2 (X - 3)$ .

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Step 8.1.1

Rewrite.

$Y - 2 = 0 + 0 + 2 (X - 3)$

Step 8.1.2

Simplify by adding zeros.

$Y - 2 = 2 (X - 3)$

Step 8.1.3

Apply the distributive property.

$Y - 2 = 2 X + 2 \cdot - 3$

Step 8.1.4

Multiply $2$ by $- 3$ .

$Y - 2 = 2 X - 6$

Step 8.2

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

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Step 8.2.1

Add $2$ to both sides of the equation.

$Y = 2 X - 6 + 2$

Step 8.2.2

Add $- 6$ and $2$ .

$Y = 2 X - 4$

Step 9

Substitute $2$ for $x$ and find the result for $y$ .

$Y - 2 = 2 (X - 3)$

Step 10

Solve the equation for $y$ .

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Step 10.1

Simplify $2 (X - 3)$ .

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Step 10.1.1

Rewrite.

$Y - 2 = 0 + 0 + 2 (X - 3)$

Step 10.1.2

Simplify by adding zeros.

$Y - 2 = 2 (X - 3)$

Step 10.1.3

Apply the distributive property.

$Y - 2 = 2 X + 2 \cdot - 3$

Step 10.1.4

Multiply $2$ by $- 3$ .

$Y - 2 = 2 X - 6$

Step 10.2

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

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Step 10.2.1

Add $2$ to both sides of the equation.

$Y = 2 X - 6 + 2$

Step 10.2.2

Add $- 6$ and $2$ .

$Y = 2 X - 4$

Step 11

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & 2 X - 4 \\ - 1 & 2 X - 4 \\ 0 & 2 X - 4 \\ 1 & 2 X - 4 \\ 2 & 2 X - 4 \end{array}$

Step 12