Question
When graphing using the equation y=3x-5
, which is the only correct statement?
he slope is -5
This is not in slope-intercept form
The y-intercept is
The slope can be written as a fraction with 1 under it
, which is the only correct statement?
he slope is -5
This is not in slope-intercept form
The y-intercept is
The slope can be written as a fraction with 1 under it
Answers
GPT-4o mini
Let's analyze the equation \( y = 3x - 5 \):
1. **The slope is -5**: This is incorrect. The slope is the coefficient of \( x \), which is 3, not -5.
2. **This is not in slope-intercept form**: This is incorrect. The equation \( y = mx + b \) is in slope-intercept form, where \( m \) is the slope and \( b \) is the y-intercept.
3. **The y-intercept is**: This statement is incomplete but can be completed as follows: The y-intercept (b) is -5. It is derived from the equation when \( x = 0 \).
4. **The slope can be written as a fraction with 1 under it**: This is correct. The slope 3 can be written as \( \frac{3}{1} \).
Given these analyses, the **only correct statement** is:
**The slope can be written as a fraction with 1 under it.**
1. **The slope is -5**: This is incorrect. The slope is the coefficient of \( x \), which is 3, not -5.
2. **This is not in slope-intercept form**: This is incorrect. The equation \( y = mx + b \) is in slope-intercept form, where \( m \) is the slope and \( b \) is the y-intercept.
3. **The y-intercept is**: This statement is incomplete but can be completed as follows: The y-intercept (b) is -5. It is derived from the equation when \( x = 0 \).
4. **The slope can be written as a fraction with 1 under it**: This is correct. The slope 3 can be written as \( \frac{3}{1} \).
Given these analyses, the **only correct statement** is:
**The slope can be written as a fraction with 1 under it.**