Question

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

Answer 1

Answer:

Option (1) and (5)

Step-by-step 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 $(x_1,y_1)$ and $(x_2,y_2)$ = $\frac{y_2-y_1}{x_2-x_1}$

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

m = $\frac{11-8}{0-1}$ = -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.