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**Parallel & Perpendicular Slopes II**

Unit 6

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**Warm Up Which of these lines are parallel? Why?**

Which are perpendicular? Why? a) y = 2x + 3 b) y = −2x + 3 c) y = ½x + 3 d) y = 2x − 3

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**If a line has slope 5, then what is the slope of a perpendicular line?**

If a line has slope − 2/3, then what is the slope of a parallel line? If a line has slope − 2/3, then what is the slope of a perpendicular line? If a line has slope 4, then what is the slope of a parallel line? If a line has equation y = 6x − 5, then what is the slope of a perpendicular line?

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**Write an equation of the line that is parallel to the given line and passes through the given point.**

y = -4x – 7, (5, -3) Determine the slope. Plug the slope and the new points into the slope intercept form, y = mx + b. This is the new equation for the line that is parallel.

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**Write an equation of the line that is parallel to the given line and passes through the given point.**

Y = -2/3 x + 4, (-6, 5) Determine the slope. Plug the slope and the new points into the slope intercept form, y = mx + b. This is the new equation for the line that is parallel.

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**Write an equation of the line that is parallel to the given line and passes through the given point.**

y = 3x + 6, (-9, 12) Determine the slope. Plug the slope and the new points into the slope intercept form, y = mx + b. This is the new equation for the line that is parallel.

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Write an equation of the line that is perpendicular to the given line and passes through the given point. y = -1/2 x (0, 1) Determine the slope. Plug the slope and the new points into the slope intercept form, y = mx + b. This is the new equation for the line that is parallel.

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