SOLUTION: Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion clearly. 6x+7y=42 7x=16+

Algebra ->  Linear-equations -> SOLUTION: Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion clearly. 6x+7y=42 7x=16+      Log On


   



Question 1066950: Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither. Show all work and explain your conclusion clearly.
6x+7y=42
7x=16+6y





Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
1) 6x +7y = 42
:
2) 7x = 16 + 6y
:
We want the slope-intercept form of each equation, that is, y = mx +b where m is the slope and b is the y intercept
:
equation 1)
7y = -6x + 42
y = (-6x/7) + 6
:
equation 2)
7x = 16 + 6y
6y = 7x - 16
y = (7x/6) - (16/6)
y = (7x/6) - (8/3)
:
The slope for equation 1) is (-6/7) and the slope for equation 2) is (7/6), the slopes are the negative reciprocals of each other
:
*************************************************
the lines are perpendicular, here is their graph, equation 1) is red and equation 2) is green
:

:
**************************************************
: