Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the slope of this line? simplify your answer and write it as a …

Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Select two points

Let's take two points on the line, say (- 8,-1) and (8,1).

Step2: Apply slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-8,y_1 = - 1,x_2 = 8,y_2=1$. Then $m=\frac{1-(-1)}{8-(-8)}=\frac{1 + 1}{8 + 8}$.

Step3: Simplify the fraction

$\frac{1 + 1}{8 + 8}=\frac{2}{16}=\frac{1}{8}$.

Answer:

$\frac{1}{8}$