Question

Two points located on are J(1,-4) and K(-2,8). What is the slope of ?

Answer 1

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,

$Slope = \frac{y_{1} - y_{2} }{x{1} - x{2}}$     (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, $x_1 = 1 and y_1 = -4$ and by the same way, for K(-2,8). Therefore, $x_2 = -2 while y_2 = 8$. By substituting these values in equation 1, we can deduce the following

$slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - (-4)}{-2 - 1} = \frac{8 + 4}{-2 - 1} = \frac{12}{-3} = -4$