Question

find the slope of the line that goes through the points (6,12) and (8,13).
slope, m =
enter your answer as an integer or a reduced fraction in the form a/b
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Explanation:

Step1: Recall 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: Assign point values

Let $(x_1,y_1)=(6,12)$ and $(x_2,y_2)=(8,13)$.

Step3: Substitute into formula

$m=\frac{13-12}{8-6}$

Step4: Calculate numerator and denominator

$m=\frac{1}{2}$

Answer:

$\frac{1}{2}$