What is the x-intercept of the line represented by the equation 5x + 2y = 10?

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Question: What is the x-intercept of the line represented by the equation 5x + 2y = 10?

Options:

Correct Answer: 5

Solution:

To find the x-intercept, set y = 0. The equation becomes 5x = 10, thus x = 2.

What is the x-intercept of the line represented by the equation 5x + 2y = 10?

What is the x-intercept of the line represented by the equation 5x + 2y = 10?

Step 1: Start with the equation of the line, which is 5x + 2y = 10.
Step 2: To find the x-intercept, we need to 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.
Step 4: Simplify the equation: 5x + 0 = 10, which simplifies to 5x = 10.
Step 5: Now, solve for x by dividing both sides of the equation by 5: x = 10 / 5.
Step 6: Calculate the result: x = 2.
Step 7: Therefore, the x-intercept of the line is 2.

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