Question

Find the slope of the line passing through the points (6, -6) and (4, -4)

Answer 1

To find the slope (m), use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$         and plug in the two points

(4, -4) = (x₁, y₁)

(6, -6) = (x₂, y₂)

[lines usually go from left to right, so the point furthest to the left is the 1st point]

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-6-(-4)}{6-4}$   [two negative signs cancel each other out and become positive]

$m=\frac{-6+4}{6-4}$

$m=\frac{-2}{2}$

m = -1