Objective- To write a linear equation given a point

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Presentation transcript:

Objective- To write a linear equation given a point and a slope. Write a linear equation in standard form given: slope = 3 y-intercept = -2 m = 3 b = -2 y = mx + b y = 3x + -2 Not in standard form! -3x -3x Ax + By = C -3x + y = -2 Where A, B and C are integers. or 3x - y = 2

No fractional coefficients! Write a linear equation in standard form given: 2 slope = y-intercept = 4 3 y = mx + b 2 y = x + 4 Not in standard form! 3 Ax + By = C 2 2 - x - x 3 3 Where A, B and C are integers. 2 - x + y = 4 3 2 3 - x + y = 4 No fractional coefficients! 3 - 2x + 3y = 12 2x - 3y = -12 or

-1 (x,y) y = mx + b -1 -1 y = x + y = x + b -1 4 = (2) + b -2 4 = + b Write a linear equation in standard form given: -1 slope = point = (2,4) 5 (x,y) y = mx + b -1 22 -1 y = x + y = x + b 5 5 5 1 1 -1 + x + x 4 = (2) + b 5 5 5 -2 4 = + b 1 22 5 x + y = 5 5 5 2 2 + + 5 5 x + 5y = 22 2 22 4 = b = 5 5

-11 -2 = (1) + b -11 -2 = + b -14 -11 -3 (x,y) y = mx + b -3 -3 Write a linear equation in standard form given: -3 slope = point = (1,-2) 7 (x,y) y = mx + b -3 -11 -3 y = x + y = x + b 7 7 7 3 3 -3 + x + x -2 = (1) + b 7 7 7 -3 -2 = + b -11 3 7 x + y = 7 7 7 3 3 + + 7 7 3x + 7y = -11 3 -2 + = b 7 -14 -11 3 + = b = 7 7 7

-12 - x - x -3 -12 - - -3x + 5y = -12 -12 -12 (x,y) y = mx + b (4,0) Write a linear equation in standard form given: 3 slope = x-intercept = 4 5 (x,y) y = mx + b (4,0) -12 3 y = x + 3 y = x + b 5 5 5 - x - x 3 3 3 0 = (4) + b 5 5 5 12 -3 -12 0 = + b 5 x + y = 5 5 5 - - 12 12 5 5 -3x + 5y = -12 -12 -12 0 + = b = or 5 5 3x - 5y = 12

Slope Point Change in price = $7.50/ ft. 16 ft. cost $50 m = 7.50 A hardware store sells extension ladders. A 16 ft. ladder costs $50 and the price increases $7.50 for each additional foot. If x = ladder length and y = price, write an equation for y in terms of x. Slope Point Change in price = $7.50/ ft. 16 ft. cost $50 m = 7.50 (x, y) = (16, 50) y = mx + b y = 7.50x + b y = 7.5x - 70 50 = 7.5(16) + b 50 = 120 + b -120 -120 -70 = b