# 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.

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