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Question

If a line has the equation , what is the value of the y-intercept?

Ask by Schofield Ayala. in Greece
Dec 06,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

Η τιμή της y-τομής είναι 2.

Solution

Η εξίσωση της ευθείας είναι . Ο όρος που αντιστοιχεί στον y-τομή είναι ο σταθερός όρος της εξίσωσης, δηλαδή το 2.
Άρα, η τιμή της y-τομής είναι .

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Mind Expander

The equation of a line is typically expressed in the slope-intercept form, which is , where represents the slope and is the y-intercept. For the equation , the y-intercept is the value of , which is 2. This means the line crosses the y-axis at the point (0, 2).
Another way to visualize the y-intercept is by thinking about where the line meets the vertical y-axis. Since the x-coordinate is zero at the y-axis, simply plugging in into the equation confirms that when , . So, (0, 2) is indeed that sweet spot where the line hugs the y-axis!

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