Find the slope of the line through the given points If the s

Find the slope of the line through the given points. If the slope is undefined, so state.

6) (6, 8) and (2, -5)

Solve for k if the line through the two given points is to have the given slope.

7) (-2,-4)and(1,k), m=- 2

(6). The two given points are:

A (6,8) and B (2,-5)

We know that slope of a line through two points is given as:

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

m = (-5 - 8) / (2 - 6)

= - 13 / - 4

m = 13 / 4

Hence, slope = 13 / 4

(7). The two given points are:

A (- 2, - 4) and B (1,k)

slope, m = -2

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

- 2 = (k + 4) / (1 + 2)

- 2 = (k + 4) / 3

- 6 = k + 4

k = - 10

Hence, k = - 10