Question

question 6 of 10
what is the slope of the line shown below?
(5,11)
a.
b. -
c. -
d.
(-5,-1)

Explanation:

Step1: Recall the slope formula

The slope \( m \) between 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 two points

From the graph, the two points are \((-5, -1)\) and \((5, 11)\). Let \((x_1, y_1)=(-5, -1)\) and \((x_2, y_2)=(5, 11)\).

Step3: Substitute into the slope formula

Substitute the values into the formula: \( m=\frac{11 - (-1)}{5 - (-5)}=\frac{11 + 1}{5 + 5}=\frac{12}{10}=\frac{6}{5} \).

Answer:

D. $\frac{6}{5}$