What is the slope of the line passing through the following points: $(5, - 2); (2, - 6)$ $(5, -2) ; (2,-6)$ ?

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Answer 1 · 2016-01-18T13:53:18

The slope is $+ \frac{4}{3}$ $+4/3$

As (5,-2) is listed first then it is assumed to be the first point.

Given:

For first point the strait line graph
$(x_{1}, y_{1}) \to (5, - 2)$ $(x_1,y_1)->(5,-2)$

For the second point on the strait line graph
$(x_{2}, y_{2}) \to (2 - 6)$ $(x_2,y_2)->(2-6)$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let m be the slope (gradient)

$m = \frac{change in y}{change in x}$ $m=("change in y")/("change in x")$

Thus we have: $m \to \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \to \frac{(- 6) - (- 2)}{2 - 5}$ $" " m-> (y_2-y_1)/(x_2-x_1) ->((-6)-(-2))/(2-5)$

$\Rightarrow m = \frac{- 4}{- 3}$ $=> m=(-4)/(-3)$

But a negative divided by another negative gives a positive answer.

$\Rightarrow m = \frac{4}{3}$ $=> m= 4/3$

The slope is $+ \frac{4}{3}$ $+4/3$

What is the slope of the line passing through the following points: (5, -2) ; (2,-6)(5,−2);(2,−6) (5, -2) ; (2,-6)?