Question

(7, 9) and (2, 6)
x1 y1 x2 y2
(6 - 9)/(2 - 7) = 3/5

Explanation:

Step1: Identify slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Substitute given points

Here $(x_1,y_1)=(7,9)$ and $(x_2,y_2)=(2,6)$. Substitute values:
$m=\frac{6-9}{2-7}$

Step3: Calculate numerator and denominator

Numerator: $6-9=-3$; Denominator: $2-7=-5$

Step4: Simplify the fraction

$m=\frac{-3}{-5}=\frac{3}{5}$

Answer:

$\frac{3}{5}$