Question

Which lines in the graph have a slope greater than 1 but less than 2?

(Pick more than one)

A. Line 1
B. Line 2
C. Line 3
D. Line 4
E. Line 5

Answer 1

The only lines in the graph that have a slope greater than 1 and less than 2 are Line 3 and LIne 4.

Explanation:

The Slope of a Line

Since all the lines pass through the origin, the slope can be easily calculated by dividing the y-coordinate by the x-coordinate of the marked endpoint.

For line 1:

m= 6/2 = 3

For line 2:

m= 6/3 = 2

For line 3:

m= 6/4 = 1.5

For line 4:

m= 6/5 = 1.2

For line 5:

m= 6/6 = 1

The only lines in the graph that have a slope greater than 1 and less than 2 are Line 3 and LIne 4.