How To Find X And Y Intercepts?
To find the x-intercept we put y = 0 in the given function and then solve for x. The resultant value of x is the x-intercept of the given function.
Example: Find the x-intercept of the linear equation 2x + 3y = 7.
Solution:
For the x-intercept of the linear equation 2x + 3y = 7
Put y = 0,
2x + 3×0 = 7
⇒ x = 7/2
Thus, the x-intercept of 2x + 3y = 7 is 7/2.
To find the y-intercept we put x = 0 in the given function and then solve for y. The resultant value of y is the y-intercept of the given function.
Example: Find the y-intercept of the linear equation 3x + 4y = 12.
Solution:
For the y-intercept of the linear equation 3x + 4y = 12
Put x = 0,
3×0 + 4y = 12
⇒ y = 12/4
⇒ y = 3
Thus, the y-intercept of 3x + 4y = 12 is 3.
X and Y Intercept Formula
X and Y Intercept Formula as the name suggests, is the formula to calculate the intercept of a given straight line. An intercept is defined as the point at which the line or curve intersects the graph’s axis. The intercept of a line is the point at which it intersects the x-axis or the y-axis.
When an equation isn’t in the form y = mx + b, we determine the intercepts by substituting 0 as necessary and solving for the corresponding variable.
- To find the y-intercept, we set x = 0 and solve for y. This yields the point (0,y).
- To find the x-intercept, we set y = 0 and solve for x. This gives us the point (x,0).
Table of Content
- Intercept Definition in X and Y Intercept
- What is X-Intercept?
- X-Intercept Formula
- Derivation of X-Intercept Formula
- What is Y-Intercept?
- Y-Intercept Formula
- Derivation of Y-Intercept Formula
- How To Find X And Y Intercepts?
- Intercept Form of a Straight Line
- Intercept Graph
- For Point-Slope Form
- Uses of X And Y Intercept
- Solved Example of X and Y Intercept Formula
- Practice Problems on X and Y Intercept Formula