Find the y-intercept of the line 17x - 16y = -20. 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. Substitute x = 0 into the equation 17x - 16y = -20. 17(0) - 16y = -20 -16y = -20Solve for y: Now, we solve for y by dividing both sides of the equation by -16. -16y / -16 = -20 / -16 y = 20 / 16Simplify the fraction: Simplify the fraction 20/16 to its simplest form. Both the numerator and the denominator can be divided by 4. y = (20/4) / (16/4) y = 5 / 4

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Find the $y$ -intercept of the line $17x - 16y = -20$ . $\newline$ Write your answer as an integer or decimal or fraction, not as an ordered pair.

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Algebra 1

Standard form: find x- and y-intercepts

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Q. Find the

y

-intercept of the line

17x - 16y = -20

\newline

Write your answer as an integer or decimal or 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 $17x - 16y = -20$ . $\newline$ $17(0) - 16y = -20$ $\newline$ $-16y = -20$
Solve for y: Now, we solve for $y$ by dividing both sides of the equation by $-16$ . $\newline$ $\frac{-16y}{-16} = \frac{-20}{-16}$ $\newline$ $y = \frac{20}{16}$
Simplify the fraction: Simplify the fraction $\frac{20}{16}$ to its simplest form. $\newline$ Both the numerator and the denominator can be divided by $4$ . $\newline$ $y = \left(\frac{20}{4}\right) / \left(\frac{16}{4}\right)$ $\newline$ $y = \frac{5}{4}$