Graph Using a Table of Values h(x)=x/2+5

$h (x) = \frac{x}{2} + 5$

Step 1

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

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

Step 2

Simplify $\frac{- 2}{2} + 5$ .

Divide $- 2$ by $2$ .

$y = - 1 + 5$

Add $- 1$ and $5$ .

$y = 4$

Step 3

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

$y = \frac{- 1}{2} + 5$

Step 4

Simplify $\frac{- 1}{2} + 5$ .

Move the negative in front of the fraction.

$y = - \frac{1}{2} + 5$

To write $5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - \frac{1}{2} + 5 \cdot \frac{2}{2}$

Combine $5$ and $\frac{2}{2}$ .

$y = - \frac{1}{2} + \frac{5 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{- 1 + 5 \cdot 2}{2}$

Simplify the numerator.

Multiply $5$ by $2$ .

$y = \frac{- 1 + 10}{2}$

Add $- 1$ and $10$ .

$y = \frac{9}{2}$

Step 5

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

$y = \frac{0}{2} + 5$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{0}{2} + 5$

Simplify $\frac{0}{2} + 5$ .

Divide $0$ by $2$ .

$y = 0 + 5$

Add $0$ and $5$ .

$y = 5$

Step 7

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

$y = \frac{1}{2} + 5$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{1}{2} + 5$

Simplify $\frac{1}{2} + 5$ .

To write $5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = \frac{1}{2} + 5 \cdot \frac{2}{2}$

Combine $5$ and $\frac{2}{2}$ .

$y = \frac{1}{2} + \frac{5 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{1 + 5 \cdot 2}{2}$

Simplify the numerator.

Multiply $5$ by $2$ .

$y = \frac{1 + 10}{2}$

Add $1$ and $10$ .

$y = \frac{11}{2}$

Step 9

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

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

Step 10

Solve the equation for $y$ .

Remove parentheses.

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

Simplify $\frac{2}{2} + 5$ .

Divide $2$ by $2$ .

$y = 1 + 5$

Add $1$ and $5$ .

$y = 6$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 4 \\ - 1 & \frac{9}{2} \\ 0 & 5 \\ 1 & \frac{11}{2} \\ 2 & 6 \end{array}$

Step 12

Graph Using a Table of Values h(x)=x/2+5

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