Question

1. determine the slope of line uv.

Explanation:

Step1: Identify two points

Let \(U=(-4, - 4)\) and \(V=( - 1,5)\)

Step2: Recall slope formula

The slope \(m\) of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Step3: Substitute values

Here \(x_1=-4,y_1 = - 4,x_2=-1,y_2 = 5\), so \(m=\frac{5-(-4)}{-1-(-4)}=\frac{5 + 4}{-1 + 4}=\frac{9}{3}=3\)

Answer:

3