Question
Write the equation of the line y =mx through the origin that shows the proportional relationship in the graph. Express your answer as a fraction in simplest form.
(1 point)
Responses
y = 13×
1
3
×
y = 1 third times
y =23×
2
3
×
y =2 thirds times
y = 512×
5
12
×
y = 5 over 12 times
y =24×
(1 point)
Responses
y = 13×
1
3
×
y = 1 third times
y =23×
2
3
×
y =2 thirds times
y = 512×
5
12
×
y = 5 over 12 times
y =24×
Answers
GPT-4o mini
To express the equation of the line \( y = mx \) through the origin as a fraction in simplest form, we need to know the value of \( m \).
Assuming you're looking for the possible values based on common fractions presented:
- If \( m = \frac{1}{3} \), then the equation would be \( y = \frac{1}{3}x \).
- If \( m = \frac{2}{3} \), then the equation would be \( y = \frac{2}{3}x \).
- If \( m = \frac{5}{12} \), then the equation would be \( y = \frac{5}{12}x \).
- If \( m = 2 \), then the equation would be \( y = 2x \).
You can choose from these possibilities based on the graphical relationship you are referencing. For example:
1. **If \( m = \frac{1}{3} \):**
\[ y = \frac{1}{3}x \]
2. **If \( m = \frac{2}{3} \):**
\[ y = \frac{2}{3}x \]
3. **If \( m = \frac{5}{12} \):**
\[ y = \frac{5}{12}x \]
4. **If \( m = 2 \):**
\[ y = 2x \]
You can specify which slope \( m \) is desired, or provide additional context if needed. If you need a particular response based on the options given, please provide more specific instructions.
Assuming you're looking for the possible values based on common fractions presented:
- If \( m = \frac{1}{3} \), then the equation would be \( y = \frac{1}{3}x \).
- If \( m = \frac{2}{3} \), then the equation would be \( y = \frac{2}{3}x \).
- If \( m = \frac{5}{12} \), then the equation would be \( y = \frac{5}{12}x \).
- If \( m = 2 \), then the equation would be \( y = 2x \).
You can choose from these possibilities based on the graphical relationship you are referencing. For example:
1. **If \( m = \frac{1}{3} \):**
\[ y = \frac{1}{3}x \]
2. **If \( m = \frac{2}{3} \):**
\[ y = \frac{2}{3}x \]
3. **If \( m = \frac{5}{12} \):**
\[ y = \frac{5}{12}x \]
4. **If \( m = 2 \):**
\[ y = 2x \]
You can specify which slope \( m \) is desired, or provide additional context if needed. If you need a particular response based on the options given, please provide more specific instructions.