Example Solving Word Problems: Equations of lines, points, slope, intercept.

Find the slope of a line through the points (-8,16) and (-4,-4).

	Given: Point 1 = (-8,16)
	Given: Point 2 = (-4,-4)
	 
 		     -4-16
	Slope = m =  -----
		     -4--8
	 
	     -20   
	m =  ---   
	      4     
	 
	 
	m = -5
					   Finding b = Y-Intercept
	y = mx + b         Slope-Intercept Equation
					   b = Y-Intercept
					   Using Point 1: (-8,16)
	 
	16 =  -5  * -8 + b
	 
	b = 16 - 40
	 
	b = -24
	 
	y =  -5x -24        Slope-Intercept form  using y = mx + b
	 
	5x + y = -24        Standard-Form