Graph Using a Table of Values y=-4x+7

$y = - 4 x + 7$

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

$y = - 4 \cdot - 2 + 7$

Solve the equation for $y$ .

Remove parentheses.

$y = - 4 \cdot - 2 + 7$

Simplify $- 4 \cdot - 2 + 7$ .

Multiply $- 4$ by $- 2$ .

$y = 8 + 7$

Add $8$ and $7$ .

$y = 15$

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

$y = - 4 \cdot - 1 + 7$

Solve the equation for $y$ .

Remove parentheses.

$y = - 4 \cdot - 1 + 7$

Simplify $- 4 \cdot - 1 + 7$ .

Multiply $- 4$ by $- 1$ .

$y = 4 + 7$

Add $4$ and $7$ .

$y = 11$

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

$y = - 4 \cdot 0 + 7$

Solve the equation for $y$ .

Remove parentheses.

$y = - 4 \cdot 0 + 7$

Simplify $- 4 \cdot 0 + 7$ .

Multiply $- 4$ by $0$ .

$y = 0 + 7$

Add $0$ and $7$ .

$y = 7$

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

$y = - 4 \cdot 1 + 7$

Solve the equation for $y$ .

Remove parentheses.

$y = - 4 \cdot 1 + 7$

Simplify $- 4 \cdot 1 + 7$ .

Multiply $- 4$ by $1$ .

$y = - 4 + 7$

Add $- 4$ and $7$ .

$y = 3$

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

$y = - 4 \cdot 2 + 7$

Solve the equation for $y$ .

Remove parentheses.

$y = - 4 \cdot 2 + 7$

Simplify $- 4 \cdot 2 + 7$ .

Multiply $- 4$ by $2$ .

$y = - 8 + 7$

Add $- 8$ and $7$ .

$y = - 1$

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

$\begin{array}{c} x & y \\ - 2 & 15 \\ - 1 & 11 \\ 0 & 7 \\ 1 & 3 \\ 2 & - 1 \end{array}$

Graph Using a Table of Values y=-4x+7

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