Answer:
We have been given a table that represents the altitude of an airplane with passing minutes.
Since we know that equation of a line in slope-intercept form is: y=mx+b, where, m = Slope of the line and b = y-intercept.
To find the equation of line we will have to the slope of our given line using values from table.
m=\frac{y_2-y_1}{x_2-x_1}, where,
y_2-y_1 = Change in two y-coordinates.
x_2-x_1 = Change in the corresponding x-coordinates.
Upon substituting the coordinates of point (1, 35000) and (2, 31000) we will get our slope as:
m=\frac{31000-35000}{2-1}
m=\frac{-4000}{1}=-4000
Now let us find y-intercept of our given line by substituting m=-4000 and the coordinates of point (1, 35000) in slope intercept form of equation.
31000=-4000*1+b
31000=-4000+b
31000+4000=-4000+4000+b
35000=b
Upon substituting the value of slope and y-intercept the equation of line will be:
a=-4000m+35,000
Therefore, the equation representing the change in altitude a after m minutes is a=-4000m+35,000 and option A is the correct c
Step-by-step explanation:
