$\"\"$

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The points are $\"\"$ .

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The point-slope form of the line equation is $\"\"$ . where m is the slope.

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First find the slope of the line.

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$\"\"$

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$\"\"$ (Substitute $\"\"$ 5 for x₁, $\"\"$ 5 for y₁, 4 for x₂ and $\"\"$ 2 for y₂)

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$\"\"$ (Product of two same signs is positive)

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$\"\"$ (Add: $\"\"$ )

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$\"\"$

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$\"\"$ (Cancel common terms) $\"\"$

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Next find the point-slope of the line equation $\"\"$ .

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$\"\"$ (Substitute $\"\"$ 5 for x₁, $\"\"$ 5 for y₁_and_{$\"\"$ )}

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$\"\"$ (Product of two same signs is positive)

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

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$\"\"$ (Cancel common terms)

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$\"\"$ (Apply distributive property: $\"\"$ )

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$\"\"$ (Multiply: $\"\"$ ) $\"\"$

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$\"\"$ (Subtract 3y from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Subtract 5 from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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The equation is $\"\"$ .

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First find the y-intercept.

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The y-intercept is the value of y, when x = 0.

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$\"\"$ (Substitute x = 0 in original equation)

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$\"\"$ (Additive identity property: $\"\"$ )

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$\"\"$ (Divide each side by negative 3)

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$\"\"$ (Cancel common terms)

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The y-intercept is $\"\"$ . $\"\"$

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Next find the x-intercept.

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The x-intercept is the value of x, when y = 0.

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$\"\"$ (Substitute y = 0 in original equation)

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$\"\"$ (Multiply: $\"\"$ )

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$\"\"$ (Apply additive identity property: $\"\"$ )

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The x-intercept is $\"\"$ . $\"\"$

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The x-intercept is $\"\"$ and the y-intercept is $\"\"$ .