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Presentation transcript:

Warm Up In your notes show your work Write the slope intercept form of the equation Slope -2 y-int -5 2. passes through (-2,4) slope 3 Solve each equation 3. 4a – 5 = 15 4. 2/9V – 6 = 14 Evaluate 5. (25 – 4) ÷ ( 22 – 13) a. 21 b. 7 c. 20/7 d. 5

Parallel and Perpendicular Obj: I can write the equations of lines parallel and perpendicular to given lines

vocabulary Parallel Lines: have the same slope and do Not intersect Perpendicular lines: intersect at right angles and their slopes are Opposite inverses (reciprocals)

Writing Parallel Equations Write the equation of The line that passes through the point and is Parallel to the line: Ex: (3,2) y = 3X + 5 use Slope Intercept Form Y = MX + B Parallel means = slope 2 = 3(3) + B 2 = 9 + B y = 3X -7

Writing perpendicular equations Write the equation of the line perpendicular to the equation and passing through the given slope. Ex: (-3,-2) x + 4y = 12 y = -1/4x + 3 rewrite the equation in slope-int form -2 = 4 (-3) + b use slope int form to plug in given values Note that the new slope is 4 (opp. Reciprical) -2 = -12 + b 10 = b solve for b y = 4x + 10 plug in new slope and y-int

Problems Write the Parallel and perpendicular Equations (6, 4) y = 1/3X + 1 (4,2) Y = -2X + 3 (4, -6) X + 2y = 5

The line with equation y = 3x - 4 contains side ac of a right triangle abc. If the vertex of the right angle A is (3,5), what is an equation of the line that contains side Ab? B ? A 3x - 4 C

Classwork Pg 296 # 14 – 38 even !! Complete in class. finish for homework. Due Friday at the beginning of class.