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Find the $y$ -intercept of the line $12x - 18y = -24$ . 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-intercepts

Full solution

Q. Find the

y

-intercept of the line

12x - 18y = -24

. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Set $x$ to $0$ : To find the y-intercept of the line, we need to set $x$ to $0$ and solve for $y$ . $\newline$ Substitute $x = 0$ into the equation $12x - 18y = -24$ . $\newline$ $12(0) - 18y = -24$ $\newline$ $-18y = -24$
Solve for y: Now, we divide both sides of the equation by $-18$ to solve for y. $\newline$ $-18y / -18 = -24 / -18$ $\newline$ $y = 24 / 18$
Divide by $-18$ : Simplify the fraction $\frac{24}{18}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $6$ . $\newline$ $y = \frac{(24 / 6)}{(18 / 6)}$ $\newline$ $y = \frac{4}{3}$

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