# Find Intercepts Using Standard Form Of Linear Equation Worksheet

## 6 problems

To find intercepts using standard form of linear equation class, $$A$$, $$B$$, and $$C$$ are integers in a linear equation $$Ax + By = C$$, where $$A$$ and $$B$$ are not both zero. Establish $$y = 0$$ and solve for $$x$$ to obtain the $$x$$-intercept. Establish $$x = 0$$ and solve for $$y$$ to obtain the $$y$$-intercept. This technique aids in mapping the line and comprehending its characteristics.

Algebra 1
Linear Relationship

## 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.

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## Solved Example

Q. Find the $y$-intercept of the line $14x - 16y = -10$.$\newline$Write your answer as an integer or decimal or fraction, not as an ordered pair.
Solution:
1. Substitute $x = 0$: To find the $y$-intercept, you can plug in $x = 0$ into the equation $14x - 16y = -10$. $\newline$$14(0) - 16y = -10$$\newline$ $-16y = -10$
2. Solve for y: Solve for $y$ by dividing both sides by $-16$. $\newline$$\frac{-16y}{-16} = \frac{-10}{-16}$$\newline$ $y = \frac{10}{ 16}$
3. Simplify the fraction: Simplify the fraction $\frac{10}{16}$. $\newline$$y = \frac{5}{8}$

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