Question

What is the slope of the line?

Answer 1

`\textsf{B)} \quad -(9)/(5)`

Explanation:

The slope of a line is defined as the change in the vertical coordinate (y) divided by the change in the horizontal coordinate (x) between two points on the line.

To find the slope of a graphed line, begin by identifying two points on the line:

• (x₁, y₁) = (-4, 5)
• (x₂, y₂) = (1, -4)

Substitute the two points into the slope formula:

`\textsf{Slope}=(y_2-y_1)/(x_2-x_1)=(-4-5)/(1-(-4))=(-9)/(1+4)=-(9)/(5)`

Therefore, the slope of the graphed line is:

`\Large\boxed{\boxed{\textsf{Slope}=-(9)/(5)}}`