Question

Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?

Answer 1

Answer

Find out the slope of the points  G(–2, 6) and H(5, –3).

To prove

The equation for finding the slope of two points be

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

where m represented the slope .

As given

points G(–2, 6) and H(5, –3).

$m = \frac{-3-6}{5+2}$

solving the above terms

$m = \frac{-9}{7}$

Therefore the slope of  points G(–2, 6) and H(5, –3) is

$m = \frac{-9}{7}$

Answer 2

We will use the slope formula and fill it in accordingly.

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

Our x2 is 5 and x1 is -2; our y2 is -3 and y1 is 6

$m=\frac{-3-6}{5-(-2)}=\frac{-9}{7}$.

The slope of your line is -9/7