Find the slope of the line passing through the points.
1. (5,7), (-2,-3)
2. (6,3), (4,7)
..thanks
for number 1, I got "-10/-7"
and for number 2, "4/-2"
are these correct?
also, for number 2 [4,-2], I don't have to simplify, right?
thanks..
yes, but you should reduce both answers to lowest terms
1. slope = -10/-7 = 10/7
2. slope = 4/-2 = -2
To find the slope of a line passing through two points, you can use the formula:
slope = (change in y) / (change in x).
Let's calculate the slope for each given set of points:
1. (5,7), (-2,-3)
- The change in y = -3 - 7 = -10.
- The change in x = -2 - 5 = -7.
- Therefore, the slope = (-10) / (-7) = 10/7.
2. (6,3), (4,7)
- The change in y = 7 - 3 = 4.
- The change in x = 4 - 6 = -2.
- Therefore, the slope = 4 / (-2) = -2.
So, the slopes of the lines passing through the given points are:
1. (5,7), (-2,-3): slope = 10/7.
2. (6,3), (4,7): slope = -2.