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Warm Up February 19, 2014 If the line segment AB has a ratio of 2:5, what would be the ratio of the line segment BA? 2. Find the point P between the points C(-2, 5) and D(1, -4) that has a ratio of 1 to 3.

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**EOCT Week 6 # 3 Solve the equation 14 = ax + 6 for x. a. x =14/a – 6**

b. x = 20/a c. x = 14/(a + 6) d. x = 8/a

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**Parallel and Perpendicular Lines**

Write the equation of a line that passes through a given point, parallel to a given line. Write the equation of a line that passes through a given point, perpendicular to a given line.

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Parallel lines Lines in the same plane that do not intersect are called parallel lines. Parallel lines have the same slope.

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Perpendicular Lines Lines that intersect at right angles are called perpendicular lines. The slopes of these lines are opposite reciprocals. Opposite reciprocals????

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**neither parallel perpendicular**

From the given equations, determine if the corresponding lines are parallel, perpendicular, or neither. y = 2x + 2 y = 4x - 2 neither 2x + 6y = 1 4x + 12y =3 parallel perpendicular

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**Write the equation of the line that passes through (3,6) and is parallel to y = 2/3x + 8.**

m = 2/3 and the point is (3,6) y = mx+b 6= 2/3(3)+b 6= 2+b 4= b y = 2/3x+4 Parallel and Perpendicular Lines MAP TAP

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**Write the equation of the line that passes through (-6,4) and is parallel to y = 1/3x + 2.**

m = 1/3 and the point is (-6, 4) y = mx+b 4= 1/3(-6)+b 4 = -2+b 6 = b y = 1/3x+6 Parallel and Perpendicular Lines MAP TAP

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**Write the equation of the line that passes through (4,-5) and is parallel to y +2x=4.**

m = -2 and the point is (4,-5) y = mx+b -5 = -2(4)+b -5 = -8+b 3 = b y = -2x+3 Parallel and Perpendicular Lines MAP TAP

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Write the slope intercept form of an equation for the line that passes through (12,3), and is parallel to the graph of 4x + 2y = 8.

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**Write the equation of the line that passes through (6,-5) and is perpendicular to y = 2x+4.**

m = -1/2 and the point is (6,-5) y = mx+b -5 = -1/2(6)+b -5 = -3+b -2 = b y = -1/2x-2 Parallel and Perpendicular Lines MAP TAP

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**Write the equation of the line that passes through (6,-7) and is perpendicular to y = 2/3x+4.**

m = -3/2 and the point is (6,-7) y = mx+b -7 = -3/2(6)+b -7 = -9+b 2 = b y = -3/2x+2 Parallel and Perpendicular Lines MAP TAP

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**Write the equation of the line that passes through (-4,-3) and is perpendicular to 4y +2x=4.**

Put in slope int form. m = ___ and the point is (-4,-3) y = 2x+5 MAP TAP

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Write the slope intercept form of an equation for the line that passes through (1, -3), and is perpendicular to the graph of 3x+6y = 9

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Write the slope intercept form of an equation for the line that passes through (-6, 5), and is perpendicular to the graph of x -2 y= 5

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Parallel Lines Lines are parallel if they have the same slope.

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