Question

find the slope of the line that passes through (7, 4) and (9, 5). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

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

Step2: Assign coordinates

Let $(x_1,y_1)=(7,4)$, $(x_2,y_2)=(9,5)$

Step3: Calculate numerator

$y_2 - y_1 = 5 - 4 = 1$

Step4: Calculate denominator

$x_2 - x_1 = 9 - 7 = 2$

Step5: Compute slope

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

Answer:

$\frac{1}{2}$