Question

Given below are descriptions of two lines.

Line 1: Goes through (-15,-140) and (7,80)
Line 2: Goes through (-6,18/5) and (-1,31/10)
The slope of Line 1 is m =
The slope of Line 2 is m =

Answer 1

Line 1 m = 10

Line 2 m = -1/10

Explanation:

The slope formula is:

`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

Line 1: By plugging in the coordinates given, we get:

`m = (80-(-140))/(7-(-15))\\ m=(220)/(22)\\ m = 10`

Line 2: By plugging in the coordinates given for this line, we have:

`m=(31/10-18/5)/(-1-(-6))\\ m=(-1/2)/(5)\\ m=-1/10`