a line passes through the points in this table.\nwhat is the slope of the line?\nwrite your answer as an…
a line passes through the points in this table.\nwhat is the slope of the line?\nwrite your answer as an integer or simplified fraction.
Answer
Answer:
$-\frac{3}{4}$
Explanation:
Step1: Recall slope formula
The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Step2: Choose two points
Let $(x_1,y_1)=(7,21)$ and $(x_2,y_2)=(15,15)$.
Step3: Substitute values
$m=\frac{15 - 21}{15 - 7}=\frac{-6}{8}$.
Step4: Simplify fraction
$\frac{-6}{8}=-\frac{3}{4}$.