1. Line L passes through point (-1, 2) and (-3,-2) on a coordinate plane. Line M passes through the points (1.1) and (-1, W). For what value of W will make
line L and line M parallel.

Slope of a line passing through (,) and () is given by:

Now,

Slope of line L, (m) = = 0.5

Slope of line M, (n) = =

If the lines L and M are parallel to each other,

m = n

or, 0.5 =

or, 0.5 (W - 1) = -2

or, W - 1 = -4

or, W = -3

Therefore the required value of W is -3.

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