Question 1192362
**1. Find the equation of the line in standard form.**

* **1.) a = -8 and b = 2** 
    * Slope-intercept form: y = mx + b 
    * y = -8x + 2 
    * Standard form: 8x + y = 2

* **2.) a = 4 and b = 8** 
    * Slope-intercept form: y = mx + b 
    * y = 4x + 8 
    * Standard form: 4x - y = -8

* **3.) m = 5 and b = -8** 
    * Slope-intercept form: y = mx + b 
    * y = 5x - 8 
    * Standard form: 5x - y = 8

* **4.) m = 3 and (5, -2)** 
    * Find b: -2 = 3(5) + b 
    * b = -2 - 15 
    * b = -17 
    * Slope-intercept form: y = 3x - 17 
    * Standard form: 3x - y = 17

* **5.) (-1, 9) and (-4, 3)** 
    * Find slope (m): (y2 - y1) / (x2 - x1) = (3 - 9) / (-4 - (-1)) = -6 / -3 = 2
    * Find b: 9 = 2(-1) + b 
    * b = 11 
    * Slope-intercept form: y = 2x + 11 
    * Standard form: 2x - y = -11


**2. Find the equation of the line in general form.**

* **1.) m = 1/3 and (-4, -8)** 
    * Find b: -8 = (1/3)(-4) + b 
    * b = -8 + 4/3 
    * b = -20/3 
    * Slope-intercept form: y = (1/3)x - 20/3 
    * Standard form: x - 3y = 20

* **2.) m = 2 and b = 5** 
    * Slope-intercept form: y = 2x + 5 
    * Standard form: 2x - y = -5

* **3.) a = 12 and b = -9** 
    * Slope-intercept form: y = mx + b 
    * y = 12x - 9 
    * Standard form: 12x - y = 9

* **4.) a = 3 and b = 6** 
    * Slope-intercept form: y = mx + b 
    * y = 3x + 6 
    * Standard form: 3x - y = -6

* **5.) (5, 7) and (3, 2)** 
    * Find slope (m): (y2 - y1) / (x2 - x1) = (2 - 7) / (3 - 5) = -5 / -2 = 5/2
    * Find b: 7 = (5/2)(5) + b 
    * b = 7 - 25/2 
    * b = -11/2 
    * Slope-intercept form: y = (5/2)x - 11/2 
    * Standard form: 5x - 2y = 11