The problem asks us to find the slope of the line shown in the graph.

GeometryLinear EquationsSlopeCoordinate Geometry
2025/7/3

1. Problem Description

The problem asks us to find the slope of the line shown in the graph.

2. Solution Steps

First, we need to find two points on the line. From the graph, we can see that the line passes through the points (2,3)(-2, -3) and (2,1)(2, -1).
Let (x1,y1)=(2,3)(x_1, y_1) = (-2, -3) and (x2,y2)=(2,1)(x_2, y_2) = (2, -1).
The formula for the slope mm of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by:
m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}
Plugging in the coordinates of the two points, we get:
m=1(3)2(2)m = \frac{-1 - (-3)}{2 - (-2)}
m=1+32+2m = \frac{-1 + 3}{2 + 2}
m=24m = \frac{2}{4}
m=12m = \frac{1}{2}

3. Final Answer

The slope of the line is 12\frac{1}{2}.

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