What is the value of y so that the line through (3, y) and (2, 7) is parallel to the line through (– 1, 4) and (0, 6) ?


We have given coordinates of two lines (3, y) and (2, 7), (– 1, 4) and (0, 6)

To Find: Value of y?


The concept used: Slopes of the parallel line are always equal.


The formula used: The slope of line =


Now, The slope of the line whose coordinates are (3, y) and (2, 7).


M1 = …… (1)


And, Now, The slope of the line whose coordinates are (– 1, 4) and (0, 6).


M2 =


M2 = …… (2)


On equating the equation (1) and (2), we get



7 – y = 2(– 1)


– y = – 2 – 7


Y = 9


Hence, The value of y is 9.


6
1