Question

determine the slope of a line parallel to the segment shown.
(3, 5)
(1, 1)
-3/1
-1/2
2/1
1/3

Explanation:

Step1: Recall slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify the two points

The two points on the given segment are $(x_1,y_1)=(1,1)$ and $(x_2,y_2)=(3,5)$.

Step3: Calculate the slope

Substitute the values into the slope formula: $m=\frac{5 - 1}{3 - 1}=\frac{4}{2}=2=\frac{2}{1}$.
Parallel lines have the same slope.

Answer:

$\frac{2}{1}$