addykaraska
Answered

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What is the slope of this line?

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

What Is The Slope Of This Line Enter Your Answer As A Whole Number Or A Fraction In Simplest Form In The Box class=

Sagot :

semsee45

Answer:

-1

Step-by-step explanation:

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

Define two points on the line:

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

Substitute the defined points into the slope formula:

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

Therefore, the slope of the line is -1.

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