# Find Y-Intercept Given Slope-Intercept Form Worksheet

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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}

Algebra 1
Linear Relationship

## 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 $y$-intercept of the line $y = \frac{4}{3}x + \frac{2}{3}$. 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 $y$-intercept of a line is the point where the line crosses the $y$-axis. This occurs when the $x$-value is $0$.
2. Substitute $x = 0$: To find the y-intercept, we substitute $x = 0$ into the equation $y = \frac{4}{3}x + \frac{2}{3}$.
3. Calculate y value: Substituting $x = 0$ gives us $y = \frac{4}{3}(0) + \frac{2}{3}$.
4. Final result: Simplifying the equation, we get $y = 0 + \frac{2}{3}$, which means $y = \frac{2}{3}$.

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