The problem asks to find the slope of a line given two points on the line: $(-10, -9)$ and $(-6, -5)$.

GeometrySlopeCoordinate GeometryLinear Equations
2025/7/3

1. Problem Description

The problem asks to find the slope of a line given two points on the line: (10,9)(-10, -9) and (6,5)(-6, -5).

2. Solution Steps

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 the formula:
m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}
In our case, we have (x1,y1)=(10,9)(x_1, y_1) = (-10, -9) and (x2,y2)=(6,5)(x_2, y_2) = (-6, -5).
Plugging these values into the formula, we get:
m=5(9)6(10)m = \frac{-5 - (-9)}{-6 - (-10)}
m=5+96+10m = \frac{-5 + 9}{-6 + 10}
m=44m = \frac{4}{4}
m=1m = 1

3. Final Answer

The slope of the line is 1.

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