SOLUTION: Identify the graphs of each pair of equations as parallel, intersecting , or identical. Explain A. 4x + y =5 and x-2y=8 B. y = 2/3x - 4 and y = -3/2x - 4 C. y = 2/5x + 3 and

Algebra ->  Linear-equations -> SOLUTION: Identify the graphs of each pair of equations as parallel, intersecting , or identical. Explain A. 4x + y =5 and x-2y=8 B. y = 2/3x - 4 and y = -3/2x - 4 C. y = 2/5x + 3 and       Log On


   

Question 1053194: Identify the graphs of each pair of equations as parallel, intersecting , or identical. Explain
A. 4x + y =5 and x-2y=8
B. y = 2/3x - 4 and y = -3/2x - 4
C. y = 2/5x + 3 and y= 4/10x + 3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have the same slope, different y-intercepts.
Identical lines have same slope, same y-intercepts.
The other choice is perpendicular where m%5B1%5D%2Am%5B2%5D=-1 but that's not one of the options. That is a special case of intersecting lines.
Else, they're intersecting.
.
.
.
I'll do one, you do the others,
4x%2By=5
y=-4x%2B5
m%5B1%5D=-4
x-2y=8
2y=x-8
y=x%2F2-4
m%5B2%5D=1%2F2
Since the slopes are different, intersecting.
.
.
.
.
.
.
.
Do the others the same way.