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3. what is the slope of the line shown?

Question

  1. what is the slope of the line shown?

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify two points

We have the points $(3,5)$ and $(6,0)$. Let $(x_1,y_1)=(3,5)$ and $(x_2,y_2)=(6,0)$.

Step3: Substitute values

$m=\frac{0 - 5}{6 - 3}=\frac{-5}{3}=-\frac{5}{3}$

Answer:

$-\frac{5}{3}$