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

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

Find and Graph Equation of Line thru Point Perpendicular to Line
Find and Graph Equation of Line thru Point Parallel to Line
Find the slope of a line through two points.

What You Enter

Find the slope of a line through the point (6,-5) and parallel to the line [2x-7y=14].

What You Get

Given Equation: 2X-7Y=14
Rewrite in Slope Intercept Form
 
    Y = 2/7X-14/7 
 
    Y = 2/7X-2
 
    Slope = 2/7
 
Line 2
    Slope of Line 2 is parallel to Line 1 and has same slope: m = 2/7
    Line 2 passes thru Point (6,-5)
 
    Using Slope_Intercept Equation Form
 
    y = mx + b      Substituting: m=2/7,  x=6,  y=-5
 
    -5 = 2/7(6) + b
 
    b = -47/7
 
    y = 2/7 x -47/7    Slope_Intercept Equation

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