Find the slope of the line that passes through the following points: `\left((2)/(5),(2)/(3)\right)\ \ \left(-(4)/(9),(3)/(5)\right)` Show the work/explain!

Question

Find the slope of the line that passes through the following points:


``\left((2)/(5),(2)/(3)\right)\ \ \left(-(4)/(9),(3)/(5)\right)``

Show the work/explain!

Answer 1

3/50

Explanation:

Slope m = y2-y1/x2-x1

From the coordinate

x1 = 2/5, y1 = 2/3, x2 = -4/9 and y2 = 3/5

Substitute;

m = (3/5 - 2/3)/-4/9-2/3

m = (9-10/15)/(-4-6/9)

m = -1/15/-10/9

m = -1/15 * -9/10

m = 9/150

m = 3/50

Hence the slope of the line passing through the points is 3/50