Find `Y`-Intercept Given Slope-Intercept Form Worksheet

Algebra 1
Linear Relationship

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How Will This Worksheet on "Find `y`-Intercept Given Slope-Intercept Form" Benefit Your Student's Learning?

  • It strengthens understanding of the relationship between the `y`-intercept and the constant term in a linear equation.
  • Reinforces the concept of intercepts and their significance in algebraic equations.
  • Provides a methodical approach to locating a crucial point on the line without relying on graphing.
  • Enhances problem-solving skills by offering a systematic method for identifying key points in equations.
  • Facilitates a deeper comprehension of algebraic manipulation and equation interpretation.

How to Find `y`-Intercept Given Slope-Intercept Form?

  • First, rewrite the equation in slope intercept form.
  • Then, find the `y`-intercept, simply look at the constant term `b` in the equation. You can also find the `y`-intercept by plugging `x = 0` into the equation.

Solved Example

Q. Find the yy-intercept of the line y=43x+23y = \frac{4}{3}x + \frac{2}{3}. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Solution:
  1. Definition of y-intercept: The yy-intercept of a line is the point where the line crosses the yy-axis. This occurs when the xx-value is 00.
  2. Substitute x=0x = 0: To find the y-intercept, we substitute x=0x = 0 into the equation y=43x+23y = \frac{4}{3}x + \frac{2}{3}.
  3. Calculate y value: Substituting x=0x = 0 gives us y=43(0)+23y = \frac{4}{3}(0) + \frac{2}{3}.
  4. Final result: Simplifying the equation, we get y=0+23y = 0 + \frac{2}{3}, which means y=23y = \frac{2}{3}.
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About Worksheet

Algebra 1
Linear Relationship

Find the `y`-intercept given slope-intercept form focuses on identifying the `y`-intercept of a linear equation when it is presented in slope-intercept form, `y=mx+b`. The `y`-intercept represents the point where the line crosses the `y`-axis, and in this form, it's simply the constant term `b`. By understanding this concept, we can easily locate this key point on the graph of the line and gain insights into its behavior.

For example: 

Find the `y`-intercept of the line `y = -\frac{9}{13}x-\frac{11}{8}`

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