Graph Using a Table of Values y=3/4x-1

$y = \frac{3}{4} x - 1$

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

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

Solve the equation for $y$ .

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

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

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

Simplify each term.

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Multiply $3$ by $- 1$ .

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

Move the negative in front of the fraction.

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

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 1$ by $2$ .

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

Subtract $2$ from $- 3$ .

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

Move the negative in front of the fraction.

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

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

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

Solve the equation for $y$ .

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

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

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

Simplify each term.

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

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

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

Multiply $3$ by $- 1$ .

$y = \frac{- 3}{4} - 1$

Move the negative in front of the fraction.

$y = - \frac{3}{4} - 1$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 1$ by $4$ .

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

Subtract $4$ from $- 3$ .

$y = \frac{- 7}{4}$

Move the negative in front of the fraction.

$y = - \frac{7}{4}$

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

$y = \frac{3}{4} \cdot (0) - 1$

Solve the equation for $y$ .

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

$y = \frac{3}{4} \cdot 0 - 1$

Remove parentheses.

$y = \frac{3}{4} \cdot (0) - 1$

Simplify $\frac{3}{4} \cdot (0) - 1$ .

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

$y = 0 - 1$

Subtract $1$ from $0$ .

$y = - 1$

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

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

Solve the equation for $y$ .

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

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

Remove parentheses.

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

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

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

$y = \frac{3}{4} - 1$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 1$ by $4$ .

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

Subtract $4$ from $3$ .

$y = \frac{- 1}{4}$

Move the negative in front of the fraction.

$y = - \frac{1}{4}$

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

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

Solve the equation for $y$ .

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

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

Remove parentheses.

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

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 1$ by $2$ .

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

Subtract $2$ from $3$ .

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

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

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

Graph Using a Table of Values y=3/4x-1

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