How Will This Worksheet on "Find Intercepts Using Standard Form of Linear Equation" Benefit Your Student's Learning?
- Use real-world applications to strengthen algebraic skills.
- Equations can be seen on a coordinate plane with the aid of graphic representation.
- Develop analytical skills by using problem-solving techniques to identify intercepts.
- Recognize how graphical representations of equations are created.
- Get ready for more complex arithmetic subjects like equation systems.
How to Find Intercepts Using Standard Form of Linear Equation?
Here are steps to Find Intercepts:
- To Find the `x` -Intercept:
Set `y = 0`.
Solve for `x`:
\(Ax + By = C\)
Substitute `y = 0`:
\( Ax + B(0) = C \)
\( Ax = C \)
`x = \frac{C}{A}`
- To Find the `y`-Intercept:
Set `x = 0`.
Solve for `y`:
\( Ax + By = C \)
Substitute `x = 0`:
\(A(0) + By = C\)
\(By = C\)
`y = \frac{C}{B}`
In summary we can say:
- `x`-Intercept: Set `y = 0` and solve for `x`.
- `y`-Intercept: Set `x = 0` and solve for `y`.