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Do Now 11/18/11 In your notebook, explain if the equations below are the same line. In your notebook, explain if the equations below are the same line. y – 4 = (x – 1) y – 1 = (x + 2) y = 1x + 3 YES YES y – 3 = 2(x – 1) y – 1 = 2(x + 2) y = 2x + 1 y = 2x + 5 NO NO
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Objective write linear equations in point-slope form. write linear equations in point-slope form.
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Slope Review The slope m of a line passing through two points and is the ratio of the rise change to the run. and is the ratio of the rise change to the run. y x run rise
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Section 5.3 “Write Linear Equations in Point-Slope Form” POINT-SLOPE FORM- of a linear equation is written as: slope y-coordinate point 1 x-coordinate point 1 y x run rise
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Write an equation in point-slope form of the line that passes through the point (-1, 4) and has a slope of -2. Write point-slope form. Substitute -2 for m, -1 for x, and 4 for y. Write point-slope form STEP 1 Substitute for the slope and the coordinates of the given point in STEP 2 Write in point-slope. Write an equation of the line in point-slope form. STEP 3
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Write an equation in point- slope form of the line shown. m = y 2 – y 1 x2 – x1x2 – x1 = 3 – 1 -1 – 1 = 2 -2 Calculate the slope. STEP 1 Write point-slope form. Substitute for the slope and the coordinates of the given point in STEP 2 y x = -1 or
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Graph the equation. Because the equation is in point-slope form, you know that the line has a slope of and passes through the point (3, –2). 2 3 Plot the point ( 3, – 2 ). Find a second point on the line using the slope. Draw a line through both points.
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Graph the equation. Because the equation is in point-slope form, you know that the line has a slope of –1 and passes through the point (2, 1). Plot the point ( 2, 1 ). Find a second point on the line using the slope. Draw a line through both points.
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Turkey Trivia There are 7 related facts below for this puzzle. After reading all of them, try to figure out the answer to this question. Who made what? (1) Of the five Brady kids, one is named Billy. (2) The kids decided to help Mom fix thanksgiving dinner. (3) Mom fixed the turkey, and the kids divided up the rest of the work. (4) The boy who prepared the salad wasn’t Ben. (5) The girl who baked the sweet potatoes wasn’t Bea. (6) The kid who cooked the vegetables wasn’t Ben or Betty. (7) Barbara made the appetizer, not the pumpkin pie.
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