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Find the yy-intercept of the line 15x+18y=−2015x + 18y = -20. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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

Full solution

Q. Find the yy-intercept of the line 15x+18y=−2015x + 18y = -20. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
  1. Set xx to 00: To find the y-intercept of the line, we need to set xx to 00 and solve for yy.\newlineSubstitute x=0x = 0 into the equation 15x+18y=−2015x + 18y = -20.\newline15(0)+18y=−2015(0) + 18y = -20\newline18y=−2018y = -20
  2. Solve for y: Now, we divide both sides of the equation by 1818 to solve for y.\newline18y18=−2018\frac{18y}{18} = \frac{-20}{18}\newliney=−2018y = \frac{-20}{18}
  3. Divide by 1818: Simplify the fraction −2018-\frac{20}{18} to its simplest form.\newlineBoth the numerator and the denominator can be divided by 22.\newliney=(−20/2)(18/2)y = \frac{(-20 / 2)}{(18 / 2)}\newliney=−109y = -\frac{10}{9}

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