Graph Using a Table of Values y=3/4x+2

$y = \frac{3}{4} x + 2$

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

$y = \frac{3}{4} \cdot (- 2) + 2$

Solve the equation for $y$ .

Multiply $\frac{3}{4}$ by $- 2$ .

$y = \frac{3}{4} \cdot - 2 + 2$

Simplify $\frac{3}{4} \cdot - 2 + 2$ .

Simplify each term.

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$y = \frac{3}{2 (2)} \cdot - 2 + 2$

Factor $2$ out of $- 2$ .

$y = \frac{3}{2 \cdot 2} \cdot (2 \cdot - 1) + 2$

Cancel the common factor.

$y = \frac{3}{2 \cdot 2} \cdot (2 \cdot - 1) + 2$

Rewrite the expression.

$y = \frac{3}{2} \cdot - 1 + 2$

Combine $\frac{3}{2}$ and $- 1$ .

$y = \frac{3 \cdot - 1}{2} + 2$

Multiply $3$ by $- 1$ .

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

Move the negative in front of the fraction.

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

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

$y = - \frac{3}{2} + 2 \cdot \frac{2}{2}$

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

$y = - \frac{3}{2} + \frac{2 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{- 3 + 2 \cdot 2}{2}$

Simplify the numerator.

Multiply $2$ by $2$ .

$y = \frac{- 3 + 4}{2}$

Add $- 3$ and $4$ .

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

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

$y = \frac{3}{4} \cdot (- 1) + 2$

Solve the equation for $y$ .

Multiply $\frac{3}{4}$ by $- 1$ .

$y = \frac{3}{4} \cdot - 1 + 2$

Simplify $\frac{3}{4} \cdot - 1 + 2$ .

Simplify each term.

Multiply $\frac{3}{4} \cdot - 1$ .

Combine $\frac{3}{4}$ and $- 1$ .

$y = \frac{3 \cdot - 1}{4} + 2$

Multiply $3$ by $- 1$ .

$y = \frac{- 3}{4} + 2$

Move the negative in front of the fraction.

$y = - \frac{3}{4} + 2$

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y = - \frac{3}{4} + 2 \cdot \frac{4}{4}$

Combine $2$ and $\frac{4}{4}$ .

$y = - \frac{3}{4} + \frac{2 \cdot 4}{4}$

Combine the numerators over the common denominator.

$y = \frac{- 3 + 2 \cdot 4}{4}$

Simplify the numerator.

Multiply $2$ by $4$ .

$y = \frac{- 3 + 8}{4}$

Add $- 3$ and $8$ .

$y = \frac{5}{4}$

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

$y = \frac{3}{4} \cdot (0) + 2$

Solve the equation for $y$ .

Multiply $\frac{3}{4}$ by $0$ .

$y = \frac{3}{4} \cdot 0 + 2$

Remove parentheses.

$y = \frac{3}{4} \cdot (0) + 2$

Simplify $\frac{3}{4} \cdot (0) + 2$ .

Multiply $\frac{3}{4}$ by $0$ .

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

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

$y = \frac{3}{4} \cdot (1) + 2$

Solve the equation for $y$ .

Multiply $\frac{3}{4}$ by $1$ .

$y = \frac{3}{4} \cdot 1 + 2$

Remove parentheses.

$y = \frac{3}{4} \cdot (1) + 2$

Simplify $\frac{3}{4} \cdot (1) + 2$ .

Multiply $\frac{3}{4}$ by $1$ .

$y = \frac{3}{4} + 2$

To write $2$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y = \frac{3}{4} + 2 \cdot \frac{4}{4}$

Combine $2$ and $\frac{4}{4}$ .

$y = \frac{3}{4} + \frac{2 \cdot 4}{4}$

Combine the numerators over the common denominator.

$y = \frac{3 + 2 \cdot 4}{4}$

Simplify the numerator.

Multiply $2$ by $4$ .

$y = \frac{3 + 8}{4}$

Add $3$ and $8$ .

$y = \frac{11}{4}$

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

$y = \frac{3}{4} \cdot (2) + 2$

Solve the equation for $y$ .

Multiply $\frac{3}{4}$ by $2$ .

$y = \frac{3}{4} \cdot 2 + 2$

Remove parentheses.

$y = \frac{3}{4} \cdot (2) + 2$

Simplify $\frac{3}{4} \cdot (2) + 2$ .

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$y = \frac{3}{2 (2)} \cdot 2 + 2$

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $2$ .

$y = \frac{3 + 4}{2}$

Add $3$ and $4$ .

$y = \frac{7}{2}$

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

$\begin{array}{c} x & y \\ - 2 & \frac{1}{2} \\ - 1 & \frac{5}{4} \\ 0 & 2 \\ 1 & \frac{11}{4} \\ 2 & \frac{7}{2} \end{array}$

Graph Using a Table of Values y=3/4x+2

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