SOLUTION: Indicate if the following set of lines are parallel, perpendicular, neither. Show your work 3x+y=5 x+y=3 After finding the slope, and intercept, I think they are parallel.

Question 169128: Indicate if the following set of lines are parallel, perpendicular, neither.
Show your work
3x+y=5
x+y=3
After finding the slope, and intercept, I think they are parallel. just need verification.
Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the first equation.

Subtract from both sides.

Rearrange the terms.

So we can see that the equation has a slope and a y-intercept .

Now move onto the second equation.

Subtract from both sides.

Rearrange the terms.

So we can see that the equation has a slope and a y-intercept .

====================================================

So the slope of the first line is and the slope of the second line is .

So the two slopes are NOT equal. This means that the two lines are NOT parallel.

Also, notice that if we multiply the slopes, we get which is NOT equal to -1.
This means that the two slopes are NOT inverse reciprocals of one another.
So the two lines are NOT perpendicular

====================================================

Answer:

So the two lines are neither parallel nor perpendicular.

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