Question

line u is a straight line that passes through the origin. select any two points shown on line u to draw a slope triangle. the line decreases from left to right. therefore, the slope is negative. enter the slope of line u.

Explanation:

Step1: Recall slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points on the line. For example, if we take the points $(0,0)$ (the origin) and $(8, - 4)$.

Step2: Substitute point - values into formula

Here, $x_1 = 0,y_1 = 0,x_2=8,y_2=-4$. Then $m=\frac{-4 - 0}{8 - 0}=\frac{-4}{8}=-\frac{1}{2}$.

Answer:

$-\frac{1}{2}$