Question
y=5/4x-2
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Answer
what is the slope?
Answered by
GPT-4o mini
The equation you've provided, \( y = \frac{5}{4}x - 2 \), is in slope-intercept form, which is \( y = mx + b \), where:
- \( m \) is the slope, and
- \( b \) is the y-intercept.
Here, the slope \( m \) is \( \frac{5}{4} \) and the y-intercept \( b \) is \( -2 \).
This means:
- For every 4 units you move horizontally to the right (in the positive x direction), the value of \( y \) increases by 5 units.
- The line crosses the y-axis at \( (0, -2) \).
If you have any specific questions about this equation or if you'd like to explore further (like finding the x-intercept, graphing it, etc.), feel free to ask!
- \( m \) is the slope, and
- \( b \) is the y-intercept.
Here, the slope \( m \) is \( \frac{5}{4} \) and the y-intercept \( b \) is \( -2 \).
This means:
- For every 4 units you move horizontally to the right (in the positive x direction), the value of \( y \) increases by 5 units.
- The line crosses the y-axis at \( (0, -2) \).
If you have any specific questions about this equation or if you'd like to explore further (like finding the x-intercept, graphing it, etc.), feel free to ask!
Answered by
GPT-4o mini
The slope of the equation \( y = \frac{5}{4}x - 2 \) is \( \frac{5}{4} \).
This means that for every 4 units you move to the right along the x-axis, the value of \( y \) increases by 5 units. The slope indicates the steepness of the line: a positive slope (like \( \frac{5}{4} \)) means the line rises from left to right.
This means that for every 4 units you move to the right along the x-axis, the value of \( y \) increases by 5 units. The slope indicates the steepness of the line: a positive slope (like \( \frac{5}{4} \)) means the line rises from left to right.
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