Question

Line 1 passes through the points (-2,1) and (1,1). Line 2 passes through the points (5,8) and

(7,12). Find the slope of each line. Which line has the greater slope?
The slope of Line 1 is
The slope of Line 2 is
Choose the correct answer below

Answer 1

Line 1 is a slope of Zero

Line 2 is a slope of 2

Answer 2

The slope of a line is a measure of its steepness and is calculated by finding the ratio of the change in the y-coordinate to the change in the x-coordinate of the line.

For line 1, the change in the y-coordinate is 1 - 1 = 0, and the change in the x-coordinate is 1 - (-2) = 3, so the slope of line 1 is 0 / 3 = 0.

For line 2, the change in the y-coordinate is 12 - 8 = 4, and the change in the x-coordinate is 7 - 5 = 2, so the slope of line 2 is 4 / 2 = 2.

Therefore, line 2 has a greater slope than line 1. This means that line 2 is steeper than line 1, and it rises more quickly as you move along it from left to right.