Q:

If line A contains Q(5,1) and is parallel to line MN with M(-2,4) and N(2,1), which ordered pair would be on the perpendicular transversal if its equation is y= 4/3x + 1/3

Accepted Solution

A:
Your question does not say what were your options, therefore I will answer generically: in order to understand if a point (ordered pair) is contained in a line, you need to substitute the x-component of the pair in the equation of the line and see if the calculations give you the y-component of the pair.

Example:
Your line is  y = 4/3x + 1/3
Let's see if (0, 0) and (2, 3) belong to this line

y = 4/3·0 + 1/3 = 1/3 ≠ 0
Therefore, the line does not contain (0, 0)

y = 4/3·2 + 1/3 = 9/3 = 3
Therefore, the line contains (2, 3)