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Standard Form

Standard Form. TOOLBOX : SUMMARY : Standard Form Ax + By = C Slope: Rise Run Slope Formula: y 2 – y 1 x 2 – x 1 Write the equation in standard form with *Read Directions integer coefficients. 1) y = 7x – 9 Original Problem

sheila-zimmerman
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Standard Form

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  1. Standard Form

  2. TOOLBOX: SUMMARY: Standard Form Ax + By = C Slope: Rise Run Slope Formula: y2 – y1 x2 – x1 Write the equation in standard form with *Read Directions integer coefficients. 1) y = 7x – 9 Original Problem Get into standard form Ax + By = C -7x -7x Inverse of 7x is -7x -7x + y = -9 Solution

  3. 2) 5y = ¾x + 2 Original Problem Integers: NO FRACTIONS! (4)5y = (4)¾x + (4)2 Get rid of 4 on bottom by multiplying everything by 4 20y = 3x + 8 Get into standard form: Ax + By = C -3x -3x Inverse of 3x is -3x -3x + 20y = 8 Solution 3) -3y = -½x – 15 Original Problem Integers: NO FRACTIONS! -3y(2) = -½x(2) – 15(2)Get rid of 2 on bottom by multiplying everything by 2 -6y = -1x + 30 Get into standard form: Ax + By = C +1x +1x Inverse of -x is +x x – 6y = –30 Solution

  4. Write in standard form the *Read Directions equation of the line that passes through the given point and has the given slope. 4) (-3,7) with slope -2 Original Problem y – y1 = m(x – x1) Use point-slope form first Sub -3 for x1, 7 for y1, and -2 for m y – 7 = -2(x + 3) Now get into Standard Form y – 7 = -2x – 6 Ax + By = C + 7 + 7 Inverse of -7 is +7 y = -2x + 1 +2x +2x Inverse of -2x is +2x 2x + y = 1 Solution

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