Answer:
-4
Step-by-step explanation:
The slope is usually a function of the differences in y divided by the differences in x, and it can be described in the following equation,
[tex]Slope = \frac{y_{1} - y_{2} }{x{1} - x{2}}[/tex] (1)
We can select any of the two points to be our first point, let's say, J(1,-4) is point 1, so J (x1,y1). In other words, [tex]x_1 = 1 and y_1 = -4[/tex] and by the same way, for K(-2,8). Therefore, [tex]x_2 = -2 while y_2 = 8[/tex]. By substituting these values in equation 1, we can deduce the following
[tex]slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - (-4)}{-2 - 1} = \frac{8 + 4}{-2 - 1} = \frac{12}{-3} = -4[/tex]
