Asked by ooga booga
Use the image to answer the question.
A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins two plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis and left parenthesis 5 comma 1 right parenthesis.
Is this the correct graph of the equation y=15x
?
(1 point)
Responses
Yes, it is the correct graph because the slope =51
.
Yes, it is the correct graph because the slope equals Start Fraction 5 over 1 End Fraction .
Yes, it is the correct graph because the ordered pair (0, 0)
satisfies the equation and the slope m=riserun=15
.
Yes, it is the correct graph because the ordered pair left parenthesis 0 comma 0 right parenthesis satisfies the equation and the slope m equals Start Fraction rise over run End Fraction equals Start Fraction 1 over 5 End Fraction .
No, it is not the correct graph because the slope m=riserun=15
.
No, it is not the correct graph because the slope m equals Start Fraction rise over run End Fraction equals Start Fraction 1 over 5 End Fraction .
No, it is not the correct graph because the ordered pair (1, 5)
is not a point on the graph of y=15x
A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins two plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis and left parenthesis 5 comma 1 right parenthesis.
Is this the correct graph of the equation y=15x
?
(1 point)
Responses
Yes, it is the correct graph because the slope =51
.
Yes, it is the correct graph because the slope equals Start Fraction 5 over 1 End Fraction .
Yes, it is the correct graph because the ordered pair (0, 0)
satisfies the equation and the slope m=riserun=15
.
Yes, it is the correct graph because the ordered pair left parenthesis 0 comma 0 right parenthesis satisfies the equation and the slope m equals Start Fraction rise over run End Fraction equals Start Fraction 1 over 5 End Fraction .
No, it is not the correct graph because the slope m=riserun=15
.
No, it is not the correct graph because the slope m equals Start Fraction rise over run End Fraction equals Start Fraction 1 over 5 End Fraction .
No, it is not the correct graph because the ordered pair (1, 5)
is not a point on the graph of y=15x
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine if the graph accurately represents the equation \( y = 15x \), we need to analyze the slope and the points provided.
The two points given are \( (0, 0) \) and \( (5, 1) \).
1. **Check the point (0, 0)**: This point satisfies the equation \( y = 15x \) because when \( x = 0 \), \( y \) also equals \( 0 \).
2. **Find the slope between the points (0, 0) and (5, 1)**:
- The slope \( m \) is calculated as \( m = \frac{\text{rise}}{\text{run}} \).
- From \( (0, 0) \) to \( (5, 1) \):
- The rise = \( 1 - 0 = 1 \)
- The run = \( 5 - 0 = 5 \)
- Thus, \( m = \frac{1}{5} \).
3. **Compare with the slope of the given equation**:
- The slope of \( y = 15x \) is \( 15 \), significantly different from \( \frac{1}{5} \).
Given that the slope calculated from the points does not match the slope of the equation \( y = 15x \), we conclude that this is not the correct graph for that equation.
Therefore, the appropriate response is:
**No, it is not the correct graph because the slope \( m = \frac{\text{rise}}{\text{run}} = \frac{1}{5} \).**
The two points given are \( (0, 0) \) and \( (5, 1) \).
1. **Check the point (0, 0)**: This point satisfies the equation \( y = 15x \) because when \( x = 0 \), \( y \) also equals \( 0 \).
2. **Find the slope between the points (0, 0) and (5, 1)**:
- The slope \( m \) is calculated as \( m = \frac{\text{rise}}{\text{run}} \).
- From \( (0, 0) \) to \( (5, 1) \):
- The rise = \( 1 - 0 = 1 \)
- The run = \( 5 - 0 = 5 \)
- Thus, \( m = \frac{1}{5} \).
3. **Compare with the slope of the given equation**:
- The slope of \( y = 15x \) is \( 15 \), significantly different from \( \frac{1}{5} \).
Given that the slope calculated from the points does not match the slope of the equation \( y = 15x \), we conclude that this is not the correct graph for that equation.
Therefore, the appropriate response is:
**No, it is not the correct graph because the slope \( m = \frac{\text{rise}}{\text{run}} = \frac{1}{5} \).**
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