Answer:
slope = [tex]-\frac{36}{29}[/tex]
Step-by-step explanation:
To find the slope of a line that passes between two points, use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.
So, use the points given, (5, -6) and (-24, 30), substitute their x and y values into the formula in the correct order as shown, and solve:
[tex]\frac{(30)-(-6)}{(-24)-(5)}\\= \frac{30+6}{-24-5}\\= \frac{36}{-29}[/tex]
Thus, the slope is [tex]-\frac{36}{29}[/tex].
