Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

8. find the slope of the line.

Question

  1. find the slope of the line.

Explanation:

Step1: Select two points on the line

Let's take two points \((x_1,y_1)\) and \((x_2,y_2)\) from the line. Assume the points are \((- 5,2)\) and \((5,0)\) (by observing the graph).

Step2: Apply slope - formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1=-5,y_1 = 2,x_2 = 5,y_2=0\) into the formula. Then \(m=\frac{0 - 2}{5-(-5)}=\frac{-2}{10}=-\frac{1}{5}\).

Answer:

\(-\frac{1}{5}\)