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

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The line equation in slope-intercept form is $\"\"$ , where m is the slope and b

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is the y-intercept.

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First find the slope (m).

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the slope formula is $\"\"$

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Substitute the coordinates of points into the slope formula.

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$\"\"$ (Replace $\"\"$ with 6, 1, 8 and $\"\"$ 4)

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

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

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$\"\"$ (Divide: $\"\"$ )

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The slope of $\"\"$ . $\"\"$

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Next find the y-intercept (b).

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$\"\"$ (Substitute $\"\"$ 5 for m)

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$\"\"$ (Substitute 6, 1 for x, y)

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

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Apply addition property of equality: If a = b than a + c = b + c.

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$\"\"$ (Add 30 to each side)

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Apply commutative property of addition: $\"\"$ .

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$\"\"$

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

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

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

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Substitute $\"\"$ for m and 31 for b in the Slope-intercept form equation.

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

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The line equation in slope-intercept form is $\"\"$ .