Question

Determine the slope of each line.

1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S

Answer 1

The slope of the given line is -4

Explanation:

The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m =
`(y2-y1)/(x2-x1)`

In the given figure

∵ The line passes through the points (-6, 5) and (-4, -3)

∴ x1 = -6 and y1 = 5

∴ x2 = -4 and y2 = -3

→ Substitute them in the formula of the slope above

∵ m =
`(-3-5)/(-4--6)`

∴ m =
`(-8)/(-4+6)`

∴ m =
`(-8)/(2)`

∴ m = -4

∴ The slope of the given line is -4