Question

find the slope and y - intercept of the line shown below. what is the slope? select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the slope is (type an integer or a simplified fraction.) b. the slope is undefined.

Explanation:

Step1: Select two points on the line

Let's take two clear - cut points \((x_1,y_1)\) and \((x_2,y_2)\) on the line. For example, if we take two points \((0, - 2)\) and \((2,-3)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1 = 0,y_1=-2,x_2 = 2,y_2=-3\) into the formula: \(m=\frac{-3-(-2)}{2 - 0}=\frac{-3 + 2}{2}=\frac{-1}{2}=-\frac{1}{2}\).

Answer:

A. The slope is \(-\frac{1}{2}\)