Question

Determine the slope of each line.

Answer 1

Answer:

The slope of the given line is -4

Step-by-step explanation:

The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = $\frac{y2-y1}{x2-x1}$

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 = $\frac{-3-5}{-4--6}$

∴ m = $\frac{-8}{-4+6}$

∴ m = $\frac{-8}{2}$

∴ m = -4

∴ The slope of the given line is -4