Question

The table shows the number of condo sales per month for a new building. Select all

the equations that could represent the number of sales,
Month
1
2
3
4
Sold
12
9
6
3
A. y 12-3(x-1)
B. y+6=-3(x+3)
C. y 12 = 3(x - 1)

Answer 1

Option 1 and 5 will be your answer :)

Explanation:

Let the equation representing number of sold is,

y - y' = m(x - x')

Where m = number of condo sold per month

(x', y') is a point from the given table,

Slope of line passing through two points and =

Slope of the passing through (1, 8) and (0, 11) will be,

m = = -3

Therefore, equation of the line passing through (3, 2) and slope (-3),

y - 2 = (-3)(x - 3)

y - 2 = -3(x - 3)

Similarly, equation of the line passing through (0, 1) and slope (-3),

y - 11 = -3(x - 0)

Therefore, Option (1) and (5) will be the answer.