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Determine the x-intercept of the line given by the equation 2x - 3y + 6 = 0.
Determine the x-intercept of the line given by the equation 2x - 3y + 6 = 0.
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Q1
Determine the x-intercept of the line given by the equation 2x - 3y + 6 = 0.
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Set y = 0 in the equation: 2x + 6 = 0 => x = -3.
Questions & Step-by-step Solutions
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Q
Q: Determine the x-intercept of the line given by the equation 2x - 3y + 6 = 0.
Solution:
Set y = 0 in the equation: 2x + 6 = 0 => x = -3.
Steps: 6
Show Steps
Step 1: Start with the equation of the line: 2x - 3y + 6 = 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: 2x - 3(0) + 6 = 0.
Step 4: Simplify the equation: 2x + 6 = 0.
Step 5: Solve for x by isolating it: 2x = -6.
Step 6: Divide both sides by 2: x = -3.
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