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Changing Standard to Slope-Intercept Form Ax + By = C Standard Form: Where a, b, and c are any numbers… Slope can be found by dividing A B m = — —— A by B and taking the opposite sign. SOOOoooo… in slope-intercept form ( y = mx + b) that fraction must go in front of x y = mx + ? To find the y-intercept, take the original equation and let x = 0 so you have +By = C To solve for y, divide both sides by b. C B —— Example 1: 3x + 4y = 16 3 m= – — 4 3 so we write y = – — x 4 THEN, by making x = 0 we get + 4y = 16… so divide both sides by 4 & the y-int. is + 4. Write that on the end of the equation in slope-intercept form! 3 x+4 ANSWER: y = – — 4 DONE! E-Z! Example 2: 3x – 4y = 16 3 m= – — -4 3 Two negatives make a positive, so we write y = — x 4 THEN, by making x = 0 we get – 4y = 16. So divide both sides by -4 & the y-int. is – 4. Write that on the end of the equation in slope-intercept form. 3 x – 4 ANSWER: y = — 4 DONE!