SOLUTION: Given two equations (written in slope-intercept form) of two nonparallel lines, derive the equation of the x-coordinate of the point where the lines intersect.

Algebra ->  Points-lines-and-rays -> SOLUTION: Given two equations (written in slope-intercept form) of two nonparallel lines, derive the equation of the x-coordinate of the point where the lines intersect.      Log On


   



Question 286375: Given two equations (written in slope-intercept form) of two nonparallel lines, derive the equation of the x-coordinate of
the point where the lines intersect.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given two equations (written in slope-intercept form) of two nonparallel lines, derive the equation of the x-coordinate of
the point where the lines intersect.
--------------------------------------------
y = ax + b
y = cx + d
-----------------
If the two lines intersect,
ax+b = cx+d
ax-cx = d-b
(a-c)x = d-b
x = (d-b)/(a-c)
====================
Cheers,
Stan H.