Question

each square on a grid represents 1 unit on each side

1. calculate the slope of graph d

type the answer in the box below.
-2
explain or show your reasoning.
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1. calculate the slope of graph e

Explanation:

Step1: Select two points on graph D

Let's take two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line in graph D. Suppose \((x_1,y_1)=(0, 5)\) and \((x_2,y_2)=(1,3)\) (by observing the grid - points the line passes through).

Step2: Apply slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute \(x_1 = 0,y_1=5,x_2 = 1,y_2 = 3\) into the formula: \(m=\frac{3 - 5}{1-0}=\frac{-2}{1}=- 2\).

Answer:

\(-2\)