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 (-32, 20) and (32, 4).

Step2: Apply slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-32,y_1 = 20,x_2=32,y_2 = 4$. Then $m=\frac{4 - 20}{32-(-32)}$.

Step3: Simplify the expression

First, calculate the numerator: $4 - 20=-16$. Then calculate the denominator: $32-(-32)=32 + 32 = 64$. So, $m=\frac{-16}{64}=-\frac{1}{4}$.

Answer:

$-\frac{1}{4}$