Answer:
slope = [tex]-\frac{5}{4}[/tex]
Step-by-step explanation:
To find the slope of a given line, first identify two points that it passes through. We can see that this line passes through (-2,5) and (2,0). Now, use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope. Substitute the x and y values of those two points into the formula and simplify:
[tex]m = \frac{(0)-(5)}{(2)-(-2)} \\m = \frac{0-5}{2+2}\\m =\frac{-5}{4}[/tex]
So, the slope of the line is [tex]-\frac{5}{4}[/tex].
