What is the x-intercept of the line 2x + 3y = 6? (2019)

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Question: What is the x-intercept of the line 2x + 3y = 6? (2019)

Options:

Correct Answer: 2

Exam Year: 2019

Solution:

To find the x-intercept, set y = 0. Thus, 2x = 6, giving x = 3.

What is the x-intercept of the line 2x + 3y = 6? (2019)

What is the x-intercept of the line 2x + 3y = 6? (2019)

Step 1: Understand that the x-intercept is the point where the line crosses the x-axis.
Step 2: Know that on the x-axis, the value of y is always 0.
Step 3: Substitute y = 0 into the equation 2x + 3y = 6.
Step 4: The equation becomes 2x + 3(0) = 6.
Step 5: Simplify the equation to 2x = 6.
Step 6: Solve for x by dividing both sides by 2, which gives x = 3.
Step 7: Conclude that the x-intercept is the point (3, 0).

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