Question

12/15/25, 8:49 am algebra 1a mid - term exam 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. a. $y - 12 = -3(x - 1)$ d. $y - 2 = -3(x - 9)$ b. $y + 6 = -3(x + 3)$ e. $y - 3 = -3(x - 4)$ c. $y - 12 = 3(x - 1)$ (table: month 1, sold 12; month 2, sold 9; month 3, sold 6; month 4, sold 3) question 1 pts the equation $6x - 3y = 24$ represents shari’s distance from home, $y$, in blc on her run across town over time, $x$, in minutes. part a

Explanation:

Step1: Calculate slope

Slope \(m = \frac{9 - 12}{2 - 1} = -3\)

Step2: Check point-slope form

Point-slope: \(y - y_1 = m(x - x_1)\)
For (1,12): \(y - 12 = -3(x - 1)\) (A is valid)
For (4,3): \(y - 3 = -3(x - 4)\) (E is valid)
Other options use wrong slope/points.

Answer:

A. \(y - 12 = -3(x - 1)\), E. \(y - 3 = -3(x - 4)\)