Graph Y=F(X+7)

$Y = F (X + 7)$

Simplify $F (x + 7)$ .

Apply the distributive property.

$y = F x + F \cdot 7$

Simplify the expression.

Move $7$ to the left of $F$ .

$y = F x + 7 \cdot F$

Reorder $F$ and $x$ .

$y = x F + 7 F$

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 1$

$b = 7 F$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $1$

y-intercept: $(0, 7 F)$

Slope: $1$

y-intercept: $(0, 7 F)$

Any line can be graphed using two points. Select two $x$ values, and plug them into the equation to find the corresponding $y$ values.

Create a table of the $x$ and $y$ values.

$\begin{array}{c} x & y \\ 0 & 7 F \\ 1 & 8 F \end{array}$

Graph the line using the slope and the y-intercept, or the points.

Slope: $1$

y-intercept: $(0, 7 F)$

$\begin{array}{c} x & y \\ 0 & 7 F \\ 1 & 8 F \end{array}$