If the equation of a line is y = -1/2x + 3, what is the x-intercept?

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Question: If the equation of a line is y = -1/2x + 3, what is the x-intercept?

Options:

Correct Answer: 6

Solution:

To find the x-intercept, set y = 0. The equation becomes 0 = -1/2x + 3, leading to x = 6.

If the equation of a line is y = -1/2x + 3, what is the x-intercept?

If the equation of a line is y = -1/2x + 3, what is the x-intercept?

Step 1: Understand that the x-intercept is the point where the line crosses the x-axis. At this point, the value of y is 0.
Step 2: Start with the equation of the line, which is y = -1/2x + 3.
Step 3: Set y to 0 in the equation to find the x-intercept. This gives you the equation 0 = -1/2x + 3.
Step 4: Rearrange the equation to isolate x. Start by adding 1/2x to both sides: 1/2x = 3.
Step 5: To solve for x, multiply both sides of the equation by 2 to get rid of the fraction: x = 3 * 2.
Step 6: Calculate the result: x = 6.

Finding the x-intercept – To find the x-intercept of a line, set y to 0 and solve for x.