Find Intercepts Using Standard Form Of Linear Equation Worksheet

Algebra 1
Linear Relationship

Total questions - 6

Do you want to see how your students perform in this assignment?

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`.

Solved Example

Q. Find the y y -intercept of the line 14x16y=10 14x - 16y = -10 .\newlineWrite your answer as an integer or decimal or fraction, not as an ordered pair.
Solution:
  1. Substitute x=0x = 0: To find the yy-intercept, you can plug in x=0x = 0 into the equation 14x16y=1014x - 16y = -10. \newline14(0)16y=1014(0) - 16y = -10\newline 16y=10-16y = -10
  2. Solve for y: Solve for yy by dividing both sides by 16-16. \newline16y16=1016\frac{-16y}{-16} = \frac{-10}{-16}\newline y=1016y = \frac{10}{ 16}
  3. Simplify the fraction: Simplify the fraction 1016 \frac{10}{16} . \newliney=58 y = \frac{5}{8}
50,000+ teachers over use Byte!

Create your unique worksheets

  • star-iconAdd Differentiated practice to your worksheets
  • star-iconTrack your student’s performance
  • star-iconIdentify and fill knowledge gaps
Create your worksheet now

About Worksheet

Algebra 1
Linear Relationship

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.

50,000+ teachers over the world use Byte!

Digitally assign and customise your worksheet using AI

  • star-iconAdd Differentiated practice to your worksheets
  • star-iconSee how your class performs
  • star-iconIdentify and fill knowledge gaps
Create your own assignment!

Class Performances tracking