# Lesson 18 - Lesson 18 Slope: - A ratio (fraction) that...

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Lesson 18 Slope: - A ratio (fraction) that compares the vertical change ( ±) to the horizontal change ( ²) when moving from one point to another - Denoted symbolically by ³ - ³ ´ µ - vertical change ( ±) is the difference between the ± -coordinates - horizontal change ( ²) is the difference between the ² -coordinates Example 1: Given the two points ·(²¸ ±) and ¹(² º ¸ ± º ) below, find the slope of the line. -10 -8 -6 -4 -2 0 2 4 6 8 10 -10 -8 -6 -4 -2 0 2 4 6 8 10 ? ( ? º ¸ ± º ) ² ( ? ¸ ± )

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Example 2: Sketch a line through each pair of points, and then find the slope of the line a. ( ± ²) and (²± ³) b. (´µ± ¶) and (µ± ) b. A c. (³± ´¶) and ( ± ´¶) d. ( ± ´³) and ( ± ·)
The slope formula ± ²³ ²´ is an equation with a fraction. How can we re- write this equation without a fraction? Point-slope form: - an equation for a line passing through a point µ(¶ · ¸ ¹ · ) with a given slope ²¹ ± º ²¶ ¹ » ¹ · ± (¶ » ¶ · ) ¹ · » ¹ ± (¶ · » ¶) Point-slope form is most often used to find the equation for a line when the slope of the line and a point that the line pass through are provided.

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Lesson 18 - Lesson 18 Slope: - A ratio (fraction) that...

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