Question
Graph the equation by plotting points.
yequalsone fifth
xminus5
Question content area bottom left
Part 1
Complete the ordered pairs.
(5,
enter your response here), (0,
enter your response here)
yequalsone fifth
xminus5
Question content area bottom left
Part 1
Complete the ordered pairs.
(5,
enter your response here), (0,
enter your response here)
Answers
GPT-4o mini
To graph the equation \( y = \frac{1}{5}x - 5 \) by plotting points, we will find the \( y \)-values for given \( x \)-values.
1. **For \( x = 5 \):**
\[
y = \frac{1}{5}(5) - 5 = 1 - 5 = -4
\]
So, the ordered pair is \( (5, -4) \).
2. **For \( x = 0 \):**
\[
y = \frac{1}{5}(0) - 5 = 0 - 5 = -5
\]
So, the ordered pair is \( (0, -5) \).
Now we can complete the ordered pairs:
- \( (5, -4) \)
- \( (0, -5) \)
You can plot these points on a graph to create the line described by the equation \( y = \frac{1}{5}x - 5 \). If you need more points to graph, you can calculate additional \( y \)-values for other \( x \)-values as well.
1. **For \( x = 5 \):**
\[
y = \frac{1}{5}(5) - 5 = 1 - 5 = -4
\]
So, the ordered pair is \( (5, -4) \).
2. **For \( x = 0 \):**
\[
y = \frac{1}{5}(0) - 5 = 0 - 5 = -5
\]
So, the ordered pair is \( (0, -5) \).
Now we can complete the ordered pairs:
- \( (5, -4) \)
- \( (0, -5) \)
You can plot these points on a graph to create the line described by the equation \( y = \frac{1}{5}x - 5 \). If you need more points to graph, you can calculate additional \( y \)-values for other \( x \)-values as well.