Answer:
Using the point-slope form:
The equation of the line is given by:
.....[1] where
m is the slope of the line and is the point on the line.
As per the statement:
Given: Two points i,e (34, 76) and (42, 91)
First calculate slope(m):
Slope is given by:
Substitute the given values we have;
Now, substitute the value of m and (34, 76) in [1] we have;
Using distributive property:
Add 76 to both sides we get;
Therefore, the equation of the trend line is:
Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the line equation
where
A hot air balloon is descending at a rate of 287 feet per minute.
Thus, the rate of change m = -287
The negative sign indicates that a hot air balloon is descending.
Let y be elevation.
Let x be the time (in minutes)
As there is no mentioning of the initial height.
Thus, the y-intercept b = 0
now substituting m = -287 and b = 0
y = mx + b
y = -287x + 0
y = -287x
In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.
Thus, the total change in elevation of the balloon in 4 minutes will be:
y = -287x
y = -287(4)
y = -1148 feet
The negative sign indicates that that the elevation is decreasing.