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Find the x-intercept of the line 5x - 2y + 10 = 0.
Find the x-intercept of the line 5x - 2y + 10 = 0.
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Practice Questions
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Q1
Find 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. The x-intercept is -2.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the x-intercept of the line 5x - 2y + 10 = 0.
Solution:
Setting y = 0 in the equation gives 5x + 10 = 0, thus x = -2. The x-intercept is -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 in the equation.
Step 3: Substitute y = 0 into the equation: 5x - 2(0) + 10 = 0.
Step 4: Simplify the equation: 5x + 10 = 0.
Step 5: Solve for x by isolating it: 5x = -10.
Step 6: Divide both sides by 5: x = -2.
Step 7: The x-intercept is the value of x when y is 0, which is -2.
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