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

See Other Equation Word Problem Examples solved by the Algebra Word Problem Solver.

What You Enter

Find the slope of a line through the point (2,-8) and perpendicular to the line [3x-2y=6].

What You Get

Given Equation: 3X-2Y=6
Rewrite in Slope Intercept Form
    Y = 3/2X-6/2 
 
    Slope = 3/2
 
Line 2
    Line 2 is perpendicular to Line 1.
    Line 2 passes thru Point (2,-8)
    Slope of Line 2 is negative reciprocal of the slope of Line 1.
    Slope of Line 2, m = -2/3
 
    Using Slope_Intercept Equation Form
 
    y = mx + b      Substituting: m=-2/3,  x=2,  y=-8
 
    -8 = -2/3(2) + b
 
    b = -20/3
 
    y = -2/3 x -20/3    Slope_Intercept Equation
 
	Intersection: (-22/13, -72/13)

Solution: Intersection: (-22/13, -72/13)