We will use the slope formula and fill it in accordingly.
[tex] m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
Our x2 is 5 and x1 is -2; our y2 is -3 and y1 is 6
[tex] m=\frac{-3-6}{5-(-2)}=\frac{-9}{7} [/tex].
The slope of your line is -9/7
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
[tex]m = \frac{y_{2} -y_{1}}{x_{2} - x_{1}}[/tex]
where m represented the slope .
As given
points G(–2, 6) and H(5, –3).
[tex]m = \frac{-3-6}{5+2}[/tex]
solving the above terms
[tex]m = \frac{-9}{7}[/tex]
Therefore the slope of points G(–2, 6) and H(5, –3) is
[tex]m = \frac{-9}{7}[/tex]
