find the slope of the line that passes through the points (2, -5) and (7, 1). step 1: choose (x1, y1). x1 =…
find the slope of the line that passes through the points (2, -5) and (7, 1). step 1: choose (x1, y1). x1 = , y1 =
Answer
Explanation:
Step1: Select the first - point coordinates
Let $(x_1,y_1)=(2, - 5)$. So $x_1 = 2$ and $y_1=-5$.
Step2: Recall the slope formula
The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here $(x_2,y_2)=(7,1)$.
Step3: Substitute the values into the formula
$m=\frac{1-(-5)}{7 - 2}=\frac{1 + 5}{7 - 2}=\frac{6}{5}$.
Answer:
$\frac{6}{5}$