If the equation of a line is y = -2x + 5, what is the x-intercept?

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Question: If the equation of a line is y = -2x + 5, what is the x-intercept?

Options:

Correct Answer: 2.5

Solution:

To find the x-intercept, set y = 0: 0 = -2x + 5, which gives x = 2.5.

If the equation of a line is y = -2x + 5, what is the x-intercept?

If the equation of a line is y = -2x + 5, 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 = -2x + 5.
Step 3: Set y to 0 because we want to find the x-intercept. So, write the equation as 0 = -2x + 5.
Step 4: Rearrange the equation to solve for x. This means you need to isolate x on one side of the equation.
Step 5: Subtract 5 from both sides of the equation: 0 - 5 = -2x, which simplifies to -5 = -2x.
Step 6: Now, divide both sides by -2 to solve for x: -5 / -2 = x, which simplifies to x = 2.5.
Step 7: The x-intercept is the value of x we found, which is 2.5.

Linear Equations – Understanding the equation of a line in slope-intercept form (y = mx + b) and how to find intercepts.
X-Intercept Calculation – Setting y to zero in the equation to solve for x, which represents the point where the line crosses the x-axis.