Graph Using a Table of Values y=-4/5x+3

$y = - \frac{4}{5} x + 3$

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

$y = - \frac{4}{5} \cdot - 2 + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{4}{5} \cdot - 2 + 3$

Simplify $- \frac{4}{5} \cdot - 2 + 3$ .

Multiply $- \frac{4}{5} \cdot - 2$ .

Multiply $- 2$ by $- 1$ .

$y = 2 (\frac{4}{5}) + 3$

Combine $2$ and $\frac{4}{5}$ .

$y = \frac{2 \cdot 4}{5} + 3$

Multiply $2$ by $4$ .

$y = \frac{8}{5} + 3$

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{8}{5} + 3 \cdot \frac{5}{5}$

Combine $3$ and $\frac{5}{5}$ .

$y = \frac{8}{5} + \frac{3 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = \frac{8 + 3 \cdot 5}{5}$

Simplify the numerator.

Multiply $3$ by $5$ .

$y = \frac{8 + 15}{5}$

Add $8$ and $15$ .

$y = \frac{23}{5}$

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

$y = - \frac{4}{5} \cdot - 1 + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{4}{5} \cdot - 1 + 3$

Simplify $- \frac{4}{5} \cdot - 1 + 3$ .

Multiply $- \frac{4}{5} \cdot - 1$ .

Multiply $- 1$ by $- 1$ .

$y = 1 (\frac{4}{5}) + 3$

Multiply $\frac{4}{5}$ by $1$ .

$y = \frac{4}{5} + 3$

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{4}{5} + 3 \cdot \frac{5}{5}$

Combine $3$ and $\frac{5}{5}$ .

$y = \frac{4}{5} + \frac{3 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = \frac{4 + 3 \cdot 5}{5}$

Simplify the numerator.

Multiply $3$ by $5$ .

$y = \frac{4 + 15}{5}$

Add $4$ and $15$ .

$y = \frac{19}{5}$

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

$y = - \frac{4}{5} \cdot 0 + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{4}{5} \cdot 0 + 3$

Simplify $- \frac{4}{5} \cdot 0 + 3$ .

Multiply $- \frac{4}{5} \cdot 0$ .

Multiply $0$ by $- 1$ .

$y = 0 (\frac{4}{5}) + 3$

Multiply $0$ by $\frac{4}{5}$ .

$y = 0 + 3$

Add $0$ and $3$ .

$y = 3$

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

$y = - \frac{4}{5} \cdot 1 + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{4}{5} \cdot 1 + 3$

Simplify $- \frac{4}{5} \cdot 1 + 3$ .

Multiply $- 1$ by $1$ .

$y = - \frac{4}{5} + 3$

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = - \frac{4}{5} + 3 \cdot \frac{5}{5}$

Combine $3$ and $\frac{5}{5}$ .

$y = - \frac{4}{5} + \frac{3 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = \frac{- 4 + 3 \cdot 5}{5}$

Simplify the numerator.

Multiply $3$ by $5$ .

$y = \frac{- 4 + 15}{5}$

Add $- 4$ and $15$ .

$y = \frac{11}{5}$

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

$y = - \frac{4}{5} \cdot 2 + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{4}{5} \cdot 2 + 3$

Simplify $- \frac{4}{5} \cdot 2 + 3$ .

Simplify each term.

Multiply $- \frac{4}{5} \cdot 2$ .

Multiply $2$ by $- 1$ .

$y = - 2 (\frac{4}{5}) + 3$

Combine $- 2$ and $\frac{4}{5}$ .

$y = \frac{- 2 \cdot 4}{5} + 3$

Multiply $- 2$ by $4$ .

$y = \frac{- 8}{5} + 3$

Move the negative in front of the fraction.

$y = - \frac{8}{5} + 3$

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = - \frac{8}{5} + 3 \cdot \frac{5}{5}$

Combine $3$ and $\frac{5}{5}$ .

$y = - \frac{8}{5} + \frac{3 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = \frac{- 8 + 3 \cdot 5}{5}$

Simplify the numerator.

Multiply $3$ by $5$ .

$y = \frac{- 8 + 15}{5}$

Add $- 8$ and $15$ .

$y = \frac{7}{5}$

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

$\begin{array}{c} x & y \\ - 2 & \frac{23}{5} \\ - 1 & \frac{19}{5} \\ 0 & 3 \\ 1 & \frac{11}{5} \\ 2 & \frac{7}{5} \end{array}$

Graph Using a Table of Values y=-4/5x+3

Related Questions

Support LCMGCF.com by disabling your adblocker.