Write an equation in slope-Intercept form of the trend line.
A. y= 5x+ 15
B. y= 1x+ 15
Cy= 5X
2.y=1x
∞0
45
40
WEIGHT (LES)
5
2
3456
7 8 9 10
LENGTH OF TRIP (DAYS)
B. y= 1x + 15
explain why its B
The equation in slope-intercept form is usually written as y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
In the given options:
A. y = 5x + 15 has a slope of 5 (m = 5) and a y-intercept of 15 (b = 15).
B. y = 1x + 15 has a slope of 1 (m = 1) and a y-intercept of 15 (b = 15).
Since the y-intercept is 15 in both options A and B, the difference lies in the slope. The slope of a linear trend line (in this case) represents the rate of change of y with respect to x. Since a slope of 1 (m = 1) signifies a unit change in y for every unit change in x, it is generally a more common representation in this context compared to a slope of 5. Hence, the equation in option B (y = 1x + 15) is a more appropriate choice for a trend line.
explain like you are eXPLAINING TO YOUR TEACHER
Ok, sure! In the context of creating a trend line to represent data points, we usually want an equation that shows the relationship between the two variables in a clear and meaningful way.
When looking at the options provided:
A. y = 5x + 15
B. y = 1x + 15
Both equations have a y-intercept of 15, which tells us where the trend line crosses the y-axis. However, the difference lies in the slope of the line.
Having a slope of 1 (m = 1) means that for every unit change in the x variable, there is a corresponding unit change in the y variable. This is a very simple and direct relationship and makes it easier to interpret the trend line.
On the other hand, a slope of 5 (m = 5) would mean that for every unit change in the x variable, the y variable changes by a factor of 5 times. This might be a bit more complicated to interpret and might not be the best choice for representing the relationship between the variables in this context.
Therefore, in this case, option B (y = 1x + 15) would be a better choice for the trend line equation as it has a slope of 1, showing a straightforward relationship between the variables.