Line 1 passes through the points (−1,−4) and (3,16). Line 2 passes through the points (4,−1) and (8,−1). Find the slope of each line? Which line has the greater slope?

Question

asked Sep 2, 2024 46.9k views

1 Answer

Sami Farhat · Answer 1 · 2024-09-09T04:45:20+0000

The slope for Line 1 is 5 and the slope for Line 2 is 0. Line 1 has the greater slope.

To find the slope of a line passing through two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

For line 1, using the points (-1, -4) and (3, 16):

slope = (16 - (-4)) / (3 - (-1)) = 20 / 4 = 5

For line 2, using the points (4, -1) and (8, -1), we can see that the y-coordinates are the same. Therefore, the slope is 0.

The line with the greater slope is Line 1 with a slope of 5.