Question

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.

Answer 1

Answer:

Slope of a line passing through ($x_{1}$,$y_{1}$) and ($x_{2} , y_{2}$) is given by:

$\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

Now,

Slope of line L, (m) = $\frac{-3-(-1)}{-2-2}$ = 0.5

Slope of line M, (n) = $\frac{-1-1}{W-1}$ = $\frac{-2}{W-1}$

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

m = n

or, 0.5 = $\frac{-2}{W-1}$

or, 0.5 (W - 1) = -2

or, W - 1 = -4

or, W = -3

Therefore the required value of W is -3.