Question

guided practice
slopes of lines
type your answer and then click done.
simplify all fractions before typing your answer.
what is the slope of a line that is parallel to the line shown in this graph?
done
< 11 of 22

Explanation:

Step1: Recall the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0, - 2)\) and \((x_2,y_2)=(-2,2)\).

Step2: Substitute the values into the formula

Substitute \(x_1 = 0,y_1=-2,x_2=-2,y_2 = 2\) into \(m=\frac{y_2 - y_1}{x_2 - x_1}\), we get \(m=\frac{2-(-2)}{-2 - 0}\).

Step3: Simplify the expression

First, simplify the numerator \(2-(-2)=2 + 2=4\), and the denominator \(-2-0=-2\). So \(m=\frac{4}{-2}=-2\). Lines that are parallel have the same slope.

Answer:

\(-2\)