How to Find the x-Intercept in Standard American English
The x-intercept is the point where a graph crosses the x-axis. It is the value of x when y is equal to zero. To find the x-intercept, you can set y to zero and solve for x.
Here is a step-by-step guide on how to find the x-intercept:
- Write the equation of the line in slope-intercept form. The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
- Set y equal to zero. This will give you the equation 0 = mx + b.
- Solve for x. To do this, subtract b from both sides of the equation, and then divide both sides by m. This will give you the equation x = -b/m.
The value of x that you get from this equation is the x-intercept.
Example
Let’s find the x-intercept of the line y = 2x + 3.
- Write the equation of the line in slope-intercept form. The slope-intercept form of the equation is y = 2x + 3.
- Set y equal to zero. This gives us the equation 0 = 2x + 3.
- Solve for x. Subtracting 3 from both sides of the equation gives us -3 = 2x. Dividing both sides of the equation by 2 gives us x = -3/2.
Therefore, the x-intercept of the line y = 2x + 3 is -3/2.
FAQs
Q: What is the x-intercept?
A: The x-intercept is the point where a graph crosses the x-axis. It is the value of x when y is equal to zero.
Q: How do I find the x-intercept?
A: To find the x-intercept, you can set y to zero and solve for x.
Q: What is the slope-intercept form of an equation?
A: The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
Q: How do I solve for x in the equation 0 = mx + b?
A: To solve for x in the equation 0 = mx + b, subtract b from both sides of the equation and then divide both sides by m.
Q: What is the x-intercept of the line y = 2x + 3?
A: The x-intercept of the line y = 2x + 3 is -3/2.
