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Name ____________________________________ Algebra I - Pd ___ GRAPHING REVIEW!!!! Date ____________ Q2 Test 1 I - Finding the equation of a line in slope intercept form given the slope and a point 1) m = 4) m = 4 ; (6, -2) 3 5 ; (2, 7) 2 2) m = 3 ; (4, 7) 2 5) m = 0; (3, -6) 3) m =undefined; (1, 2) 5 6) m = ; (-9, 8) 3 II - Finding the equation of a line in slope-intercept form and parallel lines A) Use the two points to find the equation of the given line. (Steps 1 - 4) B) For the line found in part a, find a line that is parallel and passes through the given point. (Step 5) Given Line: Parallel: 1. (1,1) (6, -9) (5, -14) 2. (-4, 2) (4,8) (8,8) 3. (-6, 13) (2, -7) (-4, 10) 4. (-6,4) (3, -1) (6,6) 5. (-1,5) (4, -10) (5, -23) 6. (-4,8) (4, -4) (-2, -2) 7. (-3, 8) (4, 8) (5, 2) 8. (-3, 30) (3, -6) (1, -6) 9. (3, -1) (3, 4) (-2, 6) 10. (-2, 8) (2, 10) (-2, 3) 11) Find the equation of the line parallel to y = -¼ x + 2, passing through (-8, 7) 12) Find the equation of the line parallel to x= 8, passing through (4, -9) 13) Find the equation of the line parallel to y = -½x – 5, passing through (-2, -10) III - Solve the systems of equations graphically 1) Put both lines into slope intercept form (y = mx + b) 2) Graph both lines on the same set of axis. 3) Find the point of intersection and label it. (This is the solution to the system.) 4) Check both answers in the origional 1. x + y = 4 y = 3x 2. y + x = 7 y - 1 = 2x 4. y + 4x = -1 5. y-2= y = 2x -7 3 (x-10) 5 y+11 =2(x+7) 3. x - y = 4 2y = x 6. y = -4 9x – 18y = 126 ANSWER KEY I - Finding Equations 1) y = 4) y = 4 x+6 3 5 x+2 2 2) y = 3 x+1 2 3) x = 1 5 6) y = x - 7 3 5) y = -6 II - Given and Parallel Lines Given Line Parallel Line 1) y = -2x + 3 y = -2x - 4 2) y= 3) y= 4) y= 5) y = -3x + 2 6) y= 7) y=8 y = -2 8) y = -6x + 12 y = -6x 9) x=3 x = -2 10) y= 3 x+5 4 5 x-2 2 1 x-2 3 3 x+2 2 1 x+9 2 y= 12) x = 4 5 x 2 13) y = 1 x+4 3 y = -3x - 8 y= y= 1 x+9 4 3 x+2 4 y= y= 11) y = 3 x-5 2 1 x+4 2 III- Systems 1) (1, 3) 2) (2, 5) 3) (8, 4) 4) (1, -5) 5) (-5, -7) 6) (6, -4) 1 x - 11 2