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Rate of change:

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The slope m of a non vertical line through any two points is given by,

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$\"\"$

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Substitute $\"\"$ in rate of change

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formula.

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$\"\"$ $\"\"$

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$\"\"$ (Subtract: 2 – 5 = –3)

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$\"\"$ (Multiply each side by (x – 3))

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$\"\"$ (Cancel common terms)

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$\"\"$

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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$\"\"$ (Division property: $\"\"$ )

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$\"\"$ (Add 3 to each side)

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$\"\"$ (Additive inverse property; - 3 + 3 = 0)

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$\"\"$ (Additive identity property: 0 + a = a)

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$\"\"$

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The value of $\"\"$ .

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