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Three forms for describing linear functions using equations.

Three forms for describing linear functions using equations. Slope y intercept form. Slope point form. y = mx + b. (y –y 1 ) = m(x – x 1 ). A, B and C are real numbers. A and B cannot be zero. A must be a whole number. General form. Ax + By + C = 0. Slope y intercept.

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Three forms for describing linear functions using equations.

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  1. Three forms for describing linear functions using equations.

  2. Slope y intercept form. Slope point form y = mx + b (y –y1) = m(x – x1) A, B and C are real numbers. A and B cannot be zero. A must be a whole number. General form Ax + By + C = 0

  3. Slope y intercept Slope and one point General form (y –y1) = m(x – x1) Ax + By + C = 0 y = mx + b Given: m = -3 , ( -2, 5) (y -5) = -3 (x + 2) y – 5 = -3x – 6 y = -3x – 6 + 5 y = -3x - 1 (y -5) = -3 (x + 2) y – 5 = -3x – 6 y – 5 +6 = -3x y + 1 = -3x 3x + y + 1 = 0 (y -5) = -3( x – (-2)) (y -5) = -3 (x + 2) Same y = -3x - 1 3x + y = -1 3x + y + 1 = 0

  4. Math trick #1Get rid of fractions by multiplying by the LCM. (y – (-4)) = -3/2 (x – 5) LCM = 2, multiply all terms by 2. 2(y – (-4)) = 2[-3/2 (x – 5) ] 2y + 8 = -3(x – 5) 2y + 8 = -3x + 15 3x + 2y – 7 = 0

  5. Math trick #2Change negative sign in A to positive by multiplying by (-1) to all terms. • -3x + 4y – 6 = 0 • (-1) (-3x + 4y – 6 = 0) • 3x – 4y + 6 = 0 • Watch the sign changes! • Integer rules apply.

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