Question

Use the drawing tools to form the correct answers on the graph.
Consider this linear function:
Plot all ordered pairs for the values in the domain.

D: {-8, -4, 0, 2, 6}

Answer 1

To plot the ordered pairs for a linear function, we first need to know the specific function (i.e., the equation) you are working with. A linear function is typically given in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Since you didn't provide the specific linear function, let's assume for illustration that the function is \( y = 2x + 1 \). We can then calculate the corresponding \( y \) values for the given domain \( D: \{-8, -4, 0, 2, 6\} \).

**Calculating ordered pairs:**
1. For \( x = -8 \):
\[
y = 2(-8) + 1 = -16 + 1 = -15 \quad \Rightarrow \quad (-8, -15)
\]
2. For \( x = -4 \):
\[
y = 2(-4) + 1 = -8 + 1 = -7 \quad \Rightarrow \quad (-4, -7)
\]
3. For \( x = 0 \):
\[
y = 2(0) + 1 = 0 + 1 = 1 \quad \Rightarrow \quad (0, 1)
\]
4. For \( x = 2 \):
\[
y = 2(2) + 1 = 4 + 1 = 5 \quad \Rightarrow \quad (2, 5)
\]
5. For \( x = 6 \):
\[
y = 2(6) + 1 = 12 + 1 = 13 \quad \Rightarrow \quad (6, 13)
\]

**The ordered pairs are:**
- (-8, -15)
- (-4, -7)
- (0, 1)
- (2, 5)
- (6, 13)

Now, to plot these points on a graph, you would mark each ordered pair as a dot on the graph and then draw a line through all the points, since they represent a linear relationship.

If you have a different linear function in mind, please provide the equation, and I can help calculate the ordered pairs accordingly!