We are given two points W(3, 2) and X(4, -3). We need to find the slope of the line passing through these two points.

GeometrySlopeCoordinate GeometryLines
2025/4/27

1. Problem Description

We are given two points W(3, 2) and X(4, -3). We need to find the slope of the line passing through these two points.

2. Solution Steps

Let W=(x1,y1)=(3,2)W = (x_1, y_1) = (3, 2) and X=(x2,y2)=(4,3)X = (x_2, y_2) = (4, -3).
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 values we get:
m=3243=51=5m = \frac{-3 - 2}{4 - 3} = \frac{-5}{1} = -5

3. Final Answer

The slope of the line is -5.

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