What number will complete the point-slope equation that models this scenario?
y -50,000 =______(x -10)
A.) -3,000
B.) -2,000
C.) 2,000
D.) 3000
Answer :
A.) -3,000
x = 0 representing the year 2000, circulation was 80,000.
x =10 representing the year 2010,circulation was 50,000.
Point slope equation is
[tex] y-y_1=m(x-x_1) [/tex], where m is the slope and (x1,y1) is one of the point
We have two points, (0,80000) and (10,50000)
Now we need to find slope (m)
[tex] m =\frac{y_2 - y_1}{x_2-x_1} [/tex]=[tex] \frac{50000-80000}{10-0} =\frac{-30000}{10} = -3000 [/tex]
So answer is y -50,000 =-3000(x -10)
