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Find the y y -intercept of the line 14x−16y=−10 14x - 16y = -10 .\newlineWrite your answer as an integer or decimal or fraction, not as an ordered pair.

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Standard form: find x- and y-interceptsright chevron icon

Full solution

Q. Find the y y -intercept of the line 14x−16y=−10 14x - 16y = -10 .\newlineWrite your answer as an integer or decimal or fraction, not as an ordered pair.
  1. Substitute x=0x = 0: To find the yy-intercept, you can plug in x=0x = 0 into the equation 14x−16y=−1014x - 16y = -10. \newline14(0)−16y=−1014(0) - 16y = -10\newline −16y=−10-16y = -10
  2. Solve for y: Solve for yy by dividing both sides by −16-16. \newline−16y−16=−10−16\frac{-16y}{-16} = \frac{-10}{-16}\newline y=1016y = \frac{10}{ 16}
  3. Simplify the fraction: Simplify the fraction 1016 \frac{10}{16} . \newliney=58 y = \frac{5}{8}

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