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.Com
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)   (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.

RELATED QUESTIONS

Given the x-coordinate of the intersection point of two lines, write the equation for the (answered by richwmiller)
Consider two equations in point slope form. y-1=x-2 and y+5=x+4. Do the equations... (answered by vleith)
Which of the following equations is the equation 2 - 3y + 6x = 0 written in... (answered by Alan3354,macston)
Suppose a system of two linear equations in two variables has infinite solutions in the... (answered by mananth)
write the equation of the best-fit line in slope intercept form using the two data points (answered by stanbon)
Write the equation of the best-fit line in slope intercept form using the two data point... (answered by stanbon,jim_thompson5910)
Write the equation of the best-fit line in slope intercept form using the two data point... (answered by jim_thompson5910)
Use point-slope form to determine the equation of the line passing through the two given... (answered by checkley71)