### Home > CC4 > Chapter 2 > Lesson 2.1.4 > Problem 2-41

2-41.

Without graphing, calculate the slope of each line described below. Homework Help ✎

A line that goes through the points (4, 1) and (2, 5).

Use a slope triangle or another method to determine the slope of the line.

Another method is to first subtract the

*x*-values and the*y*-values from each other.

Δ*x*: 4 − 2 = 2

Δ*y*: 1 − 5 = −4Substitute the differences into the slope formula.

A line that goes through the origin and the point (10, 5).

See part (a).

A vertical line (one that is “up and down”) that goes through the point (6, –5).

Vertical lines have an undefined slope.

A line that goes through the points (1, 6) and (10, 6).

See part (a).