Asked by Bornana
Which graph represents the equation y=13x−4?
A. Graph of a line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A line passes through begin ordered pair 0 comma negative 4 end ordered pair and begin ordered pair negative 2 comma 1 end ordered pair.
B. Graph of a line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A line passes through begin ordered pair 0 comma negative 4 end ordered pair and begin ordered pair 3 comma negative 3 end ordered pair.
C. Graph of a line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A line passes through begin ordered pair negative 4 comma 0 end ordered pair and begin ordered pair negative 3 comma 3 end ordered pair.
D. Graph of a line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A line passes through begin ordered pair negative 4 comma 0 end ordered pair and begin ordered pair 3 comma negative 3 end ordered pair.
A. Graph of a line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A line passes through begin ordered pair 0 comma negative 4 end ordered pair and begin ordered pair negative 2 comma 1 end ordered pair.
B. Graph of a line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A line passes through begin ordered pair 0 comma negative 4 end ordered pair and begin ordered pair 3 comma negative 3 end ordered pair.
C. Graph of a line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A line passes through begin ordered pair negative 4 comma 0 end ordered pair and begin ordered pair negative 3 comma 3 end ordered pair.
D. Graph of a line on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A line passes through begin ordered pair negative 4 comma 0 end ordered pair and begin ordered pair 3 comma negative 3 end ordered pair.
Answers
Answered by
GPT-4o mini
To determine which graph represents the equation \( y = 13x - 4 \), we can analyze the slope and y-intercept from the equation.
1. **Identify the slope and y-intercept**: The equation \( y = 13x - 4 \) is in slope-intercept form \( y = mx + b \), where:
- \( m \) (slope) = 13
- \( b \) (y-intercept) = -4
2. **Y-Intercept**: The y-intercept means that when \( x = 0 \), \( y = -4 \). Therefore, one point on the line is \( (0, -4) \).
3. **Finding another point**: The slope of 13 indicates that for every 1 unit you move to the right (in the x-direction), you move up 13 units (in the y-direction). We can choose \( x = 1 \):
- If \( x = 1 \):
\[ y = 13(1) - 4 = 13 - 4 = 9 \]
- Therefore, another point on the line is \( (1, 9) \).
Let's check which of the provided options contains the points \( (0, -4) \) and another point consistent with the slope of 13 or is related to those points:
- **Option A**: Includes the points \( (0, -4) \) and \( (-2, 1) \). This does not fit as \( (-2, 1) \) does not correspond to the line based on the steep slope of 13.
- **Option B**: Includes \( (0, -4) \) and \( (3, -3) \). Here, \( (3, -3) \) does not align with the expected direction or steepness of the line.
- **Option C**: Includes the points \( (-4, 0) \) and \( (-3, 3) \). This also does not match our line.
- **Option D**: Includes \( (-4, 0) \) and \( (3, -3) \). Similar to the previous options, this does not fit with the line we established from the equation.
None of the graphs provided match the line defined by the equation \( y = 13x - 4 \) properly, as they don't propose points reflecting the rapid growth in \( y \) relative to \( x \).
So, the correct line representation should have points that reflect a very steep slope, like those iterating the pattern established above. Unfortunately, based on the choices given, none correctly meet the characteristics determined from \( y = 13x - 4 \). If you have further options or a clarifying statement about the graphs, it might yield a more accurate identification.
1. **Identify the slope and y-intercept**: The equation \( y = 13x - 4 \) is in slope-intercept form \( y = mx + b \), where:
- \( m \) (slope) = 13
- \( b \) (y-intercept) = -4
2. **Y-Intercept**: The y-intercept means that when \( x = 0 \), \( y = -4 \). Therefore, one point on the line is \( (0, -4) \).
3. **Finding another point**: The slope of 13 indicates that for every 1 unit you move to the right (in the x-direction), you move up 13 units (in the y-direction). We can choose \( x = 1 \):
- If \( x = 1 \):
\[ y = 13(1) - 4 = 13 - 4 = 9 \]
- Therefore, another point on the line is \( (1, 9) \).
Let's check which of the provided options contains the points \( (0, -4) \) and another point consistent with the slope of 13 or is related to those points:
- **Option A**: Includes the points \( (0, -4) \) and \( (-2, 1) \). This does not fit as \( (-2, 1) \) does not correspond to the line based on the steep slope of 13.
- **Option B**: Includes \( (0, -4) \) and \( (3, -3) \). Here, \( (3, -3) \) does not align with the expected direction or steepness of the line.
- **Option C**: Includes the points \( (-4, 0) \) and \( (-3, 3) \). This also does not match our line.
- **Option D**: Includes \( (-4, 0) \) and \( (3, -3) \). Similar to the previous options, this does not fit with the line we established from the equation.
None of the graphs provided match the line defined by the equation \( y = 13x - 4 \) properly, as they don't propose points reflecting the rapid growth in \( y \) relative to \( x \).
So, the correct line representation should have points that reflect a very steep slope, like those iterating the pattern established above. Unfortunately, based on the choices given, none correctly meet the characteristics determined from \( y = 13x - 4 \). If you have further options or a clarifying statement about the graphs, it might yield a more accurate identification.