Question

If the line Passing through the points (-8, 3), (2, 1) is parallel to the line Passing through the points (11, -1), (k, 0) then the value of K is

Answer 1

Given ,

• The line passing through the points (-8, 3) and (2, 1) is parallel to the line Passing through the points (11, -1) and (k, 0)

We know that , the slope of line is given by

$\boxed{ \sf{m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} }}$

Thus ,

The Slope the line passing through the points (-8, 3) and (2, 1) will be

m = (1 - 3)/(2 - (-8))

m = -2/10

m = -1/5

Similarly , the Slope the line passing through the points (11, -1) and (k, 0) will be

m = (0 - (-1))/(k - 11)

m = 1/k - 11

Now , if two lines are parallel than their slopes are equal

Thus ,

-1/5 = 1/k - 11

-k + 11 = 5

k = 6

$\therefore \sf \underline{The \: value \: of \: k \: is \: 6}$