Questions: Find the y-intercept of the function 5y-3x=15. (0,-3) (0,3) (3,0) (-3,0)

Find the y-intercept of the function 5y-3x=15. (0,-3) (0,3) (3,0) (-3,0)
Transcript text: https://Ims.graderesults.com/gr/modules/activities/course.pl 9-12 Approved Sites My Activities Tell me what you want to do Graph Linear and Quadratic Functions - Show Ir Lesson Posttest Question 4 Points 2 Find the $y$-intercept of the function $5 y-3 x=15$. $(0,-3)$ $(0,3)$ $(3,0)$ $(-3,0)$ Complete Later Previous 00:00 / 00:00 Grade Results, Inc: © 2005-2025 Ail Righti Reserved. earch
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Solution

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Solution Steps

Step 1: Identify the Equation

The given equation is \( 5y - 3x = 15 \).

Step 2: Set \( x = 0 \) to Find the \( y \)-Intercept

To find the \( y \)-intercept, set \( x = 0 \) in the equation: \[ 5y - 3(0) = 15 \]

Step 3: Solve for \( y \)

Simplify the equation: \[ 5y = 15 \] Divide both sides by 5: \[ y = 3 \]

Step 4: Determine the \( y \)-Intercept

The \( y \)-intercept is the point where the line crosses the \( y \)-axis, which is \((0, 3)\).

Final Answer

\((0, 3)\)

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