Find the equation of the line in slope-intercept form containing the points (6,-1) and (-3,2)
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Answer:
Please check the explanation.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
- b is the y-intercept
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.