Question

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

Answer 1

-1

Explanation:

`\boxed{\begin{minipage}{4.4cm}\underline{Slope Formula}\\\\Slope $(m)=(y_2-y_1)/(x_2-x_1)$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\\\end{minipage}}`

Define two points on the line:

• Let (x₁, y₁) = (-2, 0)
• Let (x₂, y₂) = (0, -2)

Substitute the defined points into the slope formula:

`\implies \textsf{slope}\:(m)=(y_2-y_1)/(x_2-x_1)=(-2-0)/(0-(-2))=(-2)/(2)=-1`

Therefore, the slope of the line is -1.