Answer:
A. -3/2
Step-by-step explanation:
» Concepts
The slope of a line describes the steepness, or the change in y over the change in x of a line. The formula to find the slope, given two points, is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where we put in the x- and y-coordinates of the two points.
» Application
In this case, we're given two points: (-2, 5) and (4, -4). We have to find the slope of the line containing them, so we must use our aforementioned formula.
» Solution
- [tex]\frac{(-4)-(5)}{(4)-(-2)}[/tex]
- [tex]\frac{-9}{4+2}[/tex]
- [tex]-\frac{9}{6}[/tex]
- [tex]-3/2[/tex]
Therefore, the answer is A. -3/2.
