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Determine the x-intercept of the line 5x + 2y - 10 = 0.
Determine the x-intercept of the line 5x + 2y - 10 = 0.
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Practice Questions
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Q1
Determine the x-intercept of the line 5x + 2y - 10 = 0.
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Setting y = 0 in the equation gives 5x - 10 = 0, thus x = 2.
Questions & Step-by-step Solutions
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Q
Q: Determine the x-intercept of the line 5x + 2y - 10 = 0.
Solution:
Setting y = 0 in the equation gives 5x - 10 = 0, thus x = 2.
Steps: 7
Show Steps
Step 1: Start with the equation of the line: 5x + 2y - 10 = 0.
Step 2: To find the x-intercept, set y = 0 because the x-intercept is where the line crosses the x-axis.
Step 3: Substitute y = 0 into the equation: 5x + 2(0) - 10 = 0.
Step 4: Simplify the equation: 5x - 10 = 0.
Step 5: Add 10 to both sides of the equation: 5x = 10.
Step 6: Divide both sides by 5 to solve for x: x = 10 / 5.
Step 7: Calculate the value: x = 2.
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