What is the y-intercept of the line represented by the equation 5x + 2y = 10?

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Question: What is the y-intercept of the line represented by the equation 5x + 2y = 10?

Options:

Correct Answer: 2

Solution:

Set x = 0: 2y = 10 => y = 5. The y-intercept is (0, 5).

What is the y-intercept of the line represented by the equation 5x + 2y = 10?

What is the y-intercept of the line represented by the equation 5x + 2y = 10?

Step 1: Start with the equation of the line: 5x + 2y = 10.
Step 2: To find the y-intercept, set x = 0.
Step 3: Substitute 0 for x in the equation: 5(0) + 2y = 10.
Step 4: Simplify the equation: 0 + 2y = 10, which simplifies to 2y = 10.
Step 5: Solve for y by dividing both sides by 2: y = 10 / 2.
Step 6: Calculate the value: y = 5.
Step 7: The y-intercept is the point where the line crosses the y-axis, which is (0, 5).

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