Question

what is the slope of this line? (write the slope in simplest form.) slope = (write the slope in simplest form.)

Explanation:

Step1: Select two points

Let's take two points on the line, say (-2,-1) and (2,1).

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-2,y_1 = - 1,x_2=2,y_2 = 1$. Then $m=\frac{1-(-1)}{2-(-2)}$.

Step3: Simplify the expression

$m=\frac{1 + 1}{2 + 2}=\frac{2}{4}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$