Question

the graph of the line passing through the points (6,7) and (4,2) has a slope of\\(\frac{5}{2}\\)\\(-\frac{5}{2}\\)\\(\frac{2}{5}\\)\\(-\frac{1}{2}\\)

Explanation:

Step1: Recall slope formula

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

Step2: Assign coordinate values

Let $(x_1,y_1)=(6,7)$ and $(x_2,y_2)=(4,2)$

Step3: Substitute into formula

$m = \frac{2 - 7}{4 - 6} = \frac{-5}{-2}$

Step4: Simplify the fraction

$m = \frac{5}{2}$

Answer:

$\frac{5}{2}$