Question

a line passes through the points in this table.

x	y
5	15
7	21
12	36

what is the slope of the line?
write your answer as an integer or simplified fraction.

Explanation:

Step1: Recall slope formula

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

Step2: Pick two points, e.g., (4,12) & (5,15)

$m = \frac{15 - 12}{5 - 4}$

Step3: Calculate numerator and denominator

$m = \frac{3}{1} = 3$

Step4: Verify with another pair, e.g., (7,21) & (12,36)

$m = \frac{36 - 21}{12 - 7} = \frac{15}{5} = 3$

Answer:

3