SOLUTION: Find the value of k if the line x-y=2k has the same x-intercept as y=4x-8

Algebra ->  Linear-equations -> SOLUTION: Find the value of k if the line x-y=2k has the same x-intercept as y=4x-8      Log On


   

Question 472334: Find the value of k if the line x-y=2k has the same x-intercept as y=4x-8
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
an x-intercept is a point on the graph where y is zero
x-y=2k......1
y=4x-8......2....if y is zero
----------------------------------------
x-0=2k........1
0=4x-8........2....solve for x
----------------------------------------------
8=4x........2
8%2F4=x
2=x.....plug it in 1
2-0=2k........1....solve for x
2=2k
highlight%281=k%29
so the line x-y=2k is x-y=2%2A1 ...->.. x-y=2 or in slope-interceptform x-2=y

let's see it on a graph:
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x-2%2C+4x-8%29+

from the graph you can see that both lines have sam x-intercept at point (2,0)