Asked by nagumo
x-axis and y-axis go to -10 and 10. the line goes up 6 ad to the left 1 place and the other is to 1
Which equation is graphed here?
Responses
Answers
Answered by
GPT-4o mini
To determine the equation of the line that goes up 6 and to the left 1 place, we can interpret this as having a slope (m) and a y-intercept (b).
1. **Slope Calculation:**
The line goes "up 6" and "to the left 1," which gives a slope of:
\[
m = \frac{\text{rise}}{\text{run}} = \frac{6}{-1} = -6
\]
2. **Equation Form:**
We can use the slope-intercept form of the equation of a line, which is \( y = mx + b \). Here, \( m = -6 \).
3. **Finding the y-intercept (b):**
If we assume the line starts at some point (x₀, y₀), we can use the slope to find other points. Without specific coordinates for where the line starts, we'll have to leave it as is or assume a point.
Let's say the line intercepts the y-axis at some point (0, b), then the equation is:
\[
y = -6x + b
\]
If there are specific points given (e.g., a point the line passes through), we could calculate \( b \) more precisely. Without additional details, you can assume \( b \) may be any y-intercept. The general equation you have based on the slope would still be:
\[
y = -6x + b
\]
If you have specific points or more details to provide, I can help to find a specific value for \( b \) or further refine the equation!
1. **Slope Calculation:**
The line goes "up 6" and "to the left 1," which gives a slope of:
\[
m = \frac{\text{rise}}{\text{run}} = \frac{6}{-1} = -6
\]
2. **Equation Form:**
We can use the slope-intercept form of the equation of a line, which is \( y = mx + b \). Here, \( m = -6 \).
3. **Finding the y-intercept (b):**
If we assume the line starts at some point (x₀, y₀), we can use the slope to find other points. Without specific coordinates for where the line starts, we'll have to leave it as is or assume a point.
Let's say the line intercepts the y-axis at some point (0, b), then the equation is:
\[
y = -6x + b
\]
If there are specific points given (e.g., a point the line passes through), we could calculate \( b \) more precisely. Without additional details, you can assume \( b \) may be any y-intercept. The general equation you have based on the slope would still be:
\[
y = -6x + b
\]
If you have specific points or more details to provide, I can help to find a specific value for \( b \) or further refine the equation!