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Find the y-intercept of the line represented by the equation 5x - 2y = 10.
Find the y-intercept of the line represented by the equation 5x - 2y = 10.
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Practice Questions
1 question
Q1
Find the y-intercept of the line represented by the equation 5x - 2y = 10.
5
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10
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Set x = 0: -2y = 10 => y = -5. The y-intercept is (0, -5).
Questions & Step-by-step Solutions
1 item
Q
Q: Find the y-intercept of the line represented by the equation 5x - 2y = 10.
Solution:
Set x = 0: -2y = 10 => y = -5. The y-intercept is (0, -5).
Steps: 7
Show Steps
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: To solve for y, divide 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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