Precalculus Examples

$y = 3 x + 1$

Step 1

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

$y = 3 (- 2) + 1$

Step 2

Simplify $3 (- 2) + 1$ .

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Step 2.1

Multiply $3$ by $- 2$ .

$y = - 6 + 1$

Step 2.2

Add $- 6$ and $1$ .

$y = - 5$

Step 3

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

$y = 3 (- 1) + 1$

Step 4

Simplify $3 (- 1) + 1$ .

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Step 4.1

Multiply $3$ by $- 1$ .

$y = - 3 + 1$

Step 4.2

Add $- 3$ and $1$ .

$y = - 2$

Step 5

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

$y = 3 (0) + 1$

Step 6

Solve the equation for $y$ .

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Step 6.1

Remove parentheses.

$y = 3 (0) + 1$

Step 6.2

Simplify $3 (0) + 1$ .

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Step 6.2.1

Multiply $3$ by $0$ .

$y = 0 + 1$

Step 6.2.2

Add $0$ and $1$ .

$y = 1$

Step 7

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

$y = 3 (1) + 1$

Step 8

Solve the equation for $y$ .

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Step 8.1

Remove parentheses.

$y = 3 (1) + 1$

Step 8.2

Simplify $3 (1) + 1$ .

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Step 8.2.1

Multiply $3$ by $1$ .

$y = 3 + 1$

Step 8.2.2

Add $3$ and $1$ .

$y = 4$

Step 9

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

$y = 3 (2) + 1$

Step 10

Solve the equation for $y$ .

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Step 10.1

Remove parentheses.

$y = 3 (2) + 1$

Step 10.2

Simplify $3 (2) + 1$ .

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Step 10.2.1

Multiply $3$ by $2$ .

$y = 6 + 1$

Step 10.2.2

Add $6$ and $1$ .

$y = 7$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 5 \\ - 1 & - 2 \\ 0 & 1 \\ 1 & 4 \\ 2 & 7 \end{array}$

Step 12

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