Graph Using a Table of Values y=1/2x+1

$y = \frac{1}{2} x + 1$

Step 1

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

$y = \frac{1}{2} \cdot (- 2) + 1$

Step 2

Solve the equation for $y$ .

Multiply $\frac{1}{2}$ by $- 2$ .

$y = \frac{1}{2} \cdot - 2 + 1$

Simplify $\frac{1}{2} \cdot - 2 + 1$ .

Cancel the common factor of $2$ .

Factor $2$ out of $- 2$ .

$y = \frac{1}{2} \cdot (2 (- 1)) + 1$

Cancel the common factor.

$y = \frac{1}{2} \cdot (2 \cdot - 1) + 1$

Rewrite the expression.

$y = - 1 + 1$

Add $- 1$ and $1$ .

$y = 0$

Step 3

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

$y = \frac{1}{2} \cdot (- 1) + 1$

Step 4

Solve the equation for $y$ .

Multiply $\frac{1}{2}$ by $- 1$ .

$y = \frac{1}{2} \cdot - 1 + 1$

Simplify $\frac{1}{2} \cdot - 1 + 1$ .

Simplify each term.

Combine $\frac{1}{2}$ and $- 1$ .

$y = \frac{- 1}{2} + 1$

Move the negative in front of the fraction.

$y = - \frac{1}{2} + 1$

Simplify the expression.

Write $1$ as a fraction with a common denominator.

$y = - \frac{1}{2} + \frac{2}{2}$

Combine the numerators over the common denominator.

$y = \frac{- 1 + 2}{2}$

Add $- 1$ and $2$ .

$y = \frac{1}{2}$

Step 5

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

$y = \frac{1}{2} \cdot (0) + 1$

Step 6

Solve the equation for $y$ .

Multiply $\frac{1}{2}$ by $0$ .

$y = \frac{1}{2} \cdot 0 + 1$

Remove parentheses.

$y = \frac{1}{2} \cdot (0) + 1$

Simplify $\frac{1}{2} \cdot (0) + 1$ .

Multiply $\frac{1}{2}$ by $0$ .

$y = 0 + 1$

Add $0$ and $1$ .

$y = 1$

Step 7

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

$y = \frac{1}{2} \cdot (1) + 1$

Step 8

Solve the equation for $y$ .

Multiply $\frac{1}{2}$ by $1$ .

$y = \frac{1}{2} \cdot 1 + 1$

Remove parentheses.

$y = \frac{1}{2} \cdot (1) + 1$

Simplify $\frac{1}{2} \cdot (1) + 1$ .

Multiply $\frac{1}{2}$ by $1$ .

$y = \frac{1}{2} + 1$

Simplify the expression.

Write $1$ as a fraction with a common denominator.

$y = \frac{1}{2} + \frac{2}{2}$

Combine the numerators over the common denominator.

$y = \frac{1 + 2}{2}$

Add $1$ and $2$ .

$y = \frac{3}{2}$

Step 9

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

$y = \frac{1}{2} \cdot (2) + 1$

Step 10

Solve the equation for $y$ .

Multiply $\frac{1}{2}$ by $2$ .

$y = \frac{1}{2} \cdot 2 + 1$

Remove parentheses.

$y = \frac{1}{2} \cdot (2) + 1$

Simplify $\frac{1}{2} \cdot (2) + 1$ .

Cancel the common factor of $2$ .

Cancel the common factor.

$y = \frac{1}{2} \cdot 2 + 1$

Rewrite the expression.

$y = 1 + 1$

Add $1$ and $1$ .

$y = 2$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 0 \\ - 1 & \frac{1}{2} \\ 0 & 1 \\ 1 & \frac{3}{2} \\ 2 & 2 \end{array}$

Step 12

Graph Using a Table of Values y=1/2x+1

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