parallel, perpendicular or neither

DES2004

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Determine if the following lines are parallel, perpendicular, or neither. justify answer. y=4/3x + 5 and y=4/3x - 17
 
After reading the guidelines you still made a post showing no work!
 
Determine if the following lines are parallel, perpendicular, or neither. justify answer. y=4/3x + 5 and y=4/3x - 17
Your posting notation is just pi*s poor. surely you mean \(y=\frac{4}{3}x+5~\& ~y=\frac{4}{3}x-17\). If they are not correct pray tell us what is.
Can you tell what the slope of each of those line is? If \(m_1\) is the slope of the first line and \(m_2\) is the slope of the second line then if \(m_1=m_2\) the the two lines are parallel. I on the other-hand if \(m_1\cdot m_2=-1\) the lines are perpendicular. (neither line is vertical or horizontal).
 
Determine if the following lines are parallel, perpendicular, or neither. justify answer. y=4/3x + 5 and y=4/3x - 17
so y = mx +b
the M or slopes are the same (so they are going to be parallel) but the intercepts are different so they don't intersect.


to prove just make them equal and solve

(4/3)x+5=(4/3)x-17

1607546371855.png

no solution


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