What is the y-intercept of the line 5x + 2y - 10 = 0?

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Question: What is the y-intercept of the line 5x + 2y - 10 = 0?

Options:

Correct Answer: 2

Solution:

Setting x = 0 in the equation gives 2y - 10 = 0, thus y = 5.

What is the y-intercept of the line 5x + 2y - 10 = 0?

What is the y-intercept of the line 5x + 2y - 10 = 0?

Step 1: Start with the equation of the line: 5x + 2y - 10 = 0.
Step 2: To find the y-intercept, set x = 0 in the equation.
Step 3: Substitute x = 0 into the equation: 5(0) + 2y - 10 = 0.
Step 4: Simplify the equation: 0 + 2y - 10 = 0, which simplifies to 2y - 10 = 0.
Step 5: Add 10 to both sides of the equation: 2y = 10.
Step 6: Divide both sides by 2 to solve for y: y = 10 / 2.
Step 7: Simplify the result: y = 5.
Step 8: The y-intercept is the point where the line crosses the y-axis, which is (0, 5).

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