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The line equation in slope-intercept form is , where *m* is the slope and *b* is the *y*-intercept.

First find the slope of the line. If two *lines* are parallel, their *slopes* must be equal.

The line parallel to has the same slope. Compare the equation with

slope-intercept form and find the slope of the line.

Slope of the line (*m*) = .

Substitute and *m* = in the point-slope form

equation

(Substitute )

(Apply distributive property: )

(Product of two same signs is positive)

(Multiply: )

(Apply additive indentity property: ) (Subtract 1 from each side)

(Apply additive inverse property: )

(Apply additive indentity property: )

The slope-intercept form line that passes through and parallel to

line is .

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