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Question 330383: I am learning to solve and decide whether the pair of lines is parallel, perpendicular, or neither.
4x + 3y = 2
4x + 3y = 10
Thanks for your help :o)
Answer by neatmath(302)   (Show Source):
You can put this solution on YOUR website!
In order to figure this out, just find out the slope of each line by putting the original equations in slope-intercept form!
4x+3y=2
3y=-4x+2
y=-4x/3+2/3
Thus, the slope of the first line is -4/3
4x+3y=10
3y=-4x+10
y=-4x/3+10/3
Thus, the slope of the second line is -4/3
It is then easy to see that the 2 lines have the same slope, but different y-intercepts.
When 2 lines have the same slope, but are not the same line, by definition, they are parallel lines!
If the slopes of the 2 lines were negative reciprocals of each other, ie slope1=-1/slope2, then the lines would be perpendicular to each other.
Otherwise, the 2 lines are neither parallel nor perpendicular to each other.
I hope this helps! :)
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