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Rewrite the following equation in slope-intercept form.\newliney4=17(x7)y - 4 = \frac{1}{7}(x - 7)\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.\newline__\_\_

Full solution

Q. Rewrite the following equation in slope-intercept form.\newliney4=17(x7)y - 4 = \frac{1}{7}(x - 7)\newlineWrite your answer using integers, proper fractions, and improper fractions in simplest form.\newline__\_\_
  1. Distribute 17\frac{1}{7}: y4=17(x7)y - 4 = \frac{1}{7}(x - 7)\newlineDistribute 17\frac{1}{7} to both xx and 7-7.\newliney4=17×x17×7y - 4 = \frac{1}{7} \times x - \frac{1}{7} \times 7\newliney4=17x1y - 4 = \frac{1}{7}x - 1
  2. Isolate y: Add 44 to both sides to isolate yy.\newliney4+4=17x1+4y - 4 + 4 = \frac{1}{7}x - 1 + 4\newliney=17x+3y = \frac{1}{7}x + 3

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