What is the y-intercept of the line 2x - 3y = 6? (2022)

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Question: What is the y-intercept of the line 2x - 3y = 6? (2022)

Options:

Correct Answer: 3

Exam Year: 2022

Solution:

To find y-intercept, set x = 0: 2(0) - 3y = 6 => -3y = 6 => y = -2

What is the y-intercept of the line 2x - 3y = 6? (2022)

What is the y-intercept of the line 2x - 3y = 6? (2022)

Step 1: Start with the equation of the line: 2x - 3y = 6.
Step 2: To find the y-intercept, set x to 0 because the y-intercept is where the line crosses the y-axis.
Step 3: Substitute x = 0 into the equation: 2(0) - 3y = 6.
Step 4: Simplify the equation: 0 - 3y = 6, which simplifies to -3y = 6.
Step 5: To solve for y, divide both sides by -3: y = 6 / -3.
Step 6: Simplify the result: y = -2.

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