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.