Answer:
The slope of the line is [tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Slope:
When we have two points on a line, the slope is given by the change in y divided by the change in x.
Two points on a line are M(4,5) and N(-2,9).
Change in y: 9 - 5 = 4
Change in x: -2 - 4 = -6
The slope is:
[tex]m = \frac{4}{-6} = -\frac{2}{3}[/tex]
The slope of the line is [tex]-\frac{2}{3}[/tex]