find the slope of the line through the points (1, 4) and (7, 1).\na $-\\frac{1}{2}$\nb -2\nc…
find the slope of the line through the points (1, 4) and (7, 1).\na $-\\frac{1}{2}$\nb -2\nc $\\frac{1}{2}$\nd 2
Answer
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 given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Step2: Identify the points
Here, $x_1 = 1,y_1=4,x_2 = 7,y_2 = 1$.
Step3: Substitute values into formula
$m=\frac{1 - 4}{7 - 1}=\frac{-3}{6}=-\frac{1}{2}$.
Answer:
A. $-\frac{1}{2}$