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Determine the x-intercept of the line 4x - 5y + 20 = 0.
Determine the x-intercept of the line 4x - 5y + 20 = 0.
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Practice Questions
1 question
Q1
Determine the x-intercept of the line 4x - 5y + 20 = 0.
-5
5
4
-4
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Setting y = 0 in the equation gives 4x + 20 = 0, thus x = -5.
Questions & Step-by-step Solutions
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Q
Q: Determine the x-intercept of the line 4x - 5y + 20 = 0.
Solution:
Setting y = 0 in the equation gives 4x + 20 = 0, thus x = -5.
Steps: 6
Show Steps
Step 1: Start with the equation of the line: 4x - 5y + 20 = 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: 4x - 5(0) + 20 = 0.
Step 4: Simplify the equation: 4x + 20 = 0.
Step 5: Solve for x by isolating x: 4x = -20.
Step 6: Divide both sides by 4: x = -5.
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