Question

Find the slope of the line passing through the points (-p,q) (q,-p),(pq is not equal to

0)​

Answer 1

SOLUTION

TO DETERMINE

The slope of the line passing through the points (-p,q) (q,-p)

CONCEPT TO BE IMPLEMENTED

The slope of the line joining the points

$\sf{(x_1,y_1) \: \: and \: \: (x_2,y_2)}$

is $\displaystyle \sf{ = \frac{y_2 - y_1}{x_2 - x_1} }$

EVALUATION

Here the given two points are (-p,q) and (q,-p)

Hence the slope of the line joining the given two points

$\displaystyle \sf{ = \frac{ - p - q}{q - ( - p)} }$

$\displaystyle \sf{ = \frac{ - (p + q)}{q + p} }$

$\displaystyle \sf{ = \frac{ - (p + q)}{(p + q)} }$

$\sf{ = - 1}$

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Answer 2

Answer:

slope=y2-y1/x2-x1

=(-p-q) /(q+p)

=-(p+q) /(p+q)

=-1