https://file.aiquickdraw.com/mathbot/file/1726396855885chz19a11.jpg

The task you uploaded involves analyzing the function \( y = 2x - 2 \). Let's address both parts of the problem.

### a) Find the zero of the function (miejsce zerowe funkcji)

To find the zero of the function, we need to set \( y = 0 \) and solve for \( x \):

\[
0 = 2x - 2
\]

\[
2x = 2
\]

\[
x = 1
\]

So, the zero of the function is \( x = 1 \). This means the graph of the function intersects the x-axis at \( (1, 0) \).

### b) Determine the coordinates of the intersection with the y-axis (współrzędne punktu przecięcia z osią OY)

To find where the graph intersects the y-axis, set \( x = 0 \) in the function and solve for \( y \):

\[
y = 2(0) - 2 = -2
\]

So, the function intersects the y-axis at the point \( (0, -2) \).

### Summary:
- The zero of the function is at \( (1, 0) \).
- The intersection with the y-axis occurs at \( (0, -2) \).

Would you like further details or a graph of the function? Here are 5 related questions you could explore:

1. How would the graph of \( y = 2x - 2 \) look like?
2. What is the slope of the function and what does it represent?
3. How would the graph change if the function was \( y = 2x + 2 \)?
4. How can we verify the zero using the properties of the function?
5. What is the general form of a linear equation like this one?

**Tip:** To find the zero of a linear function, you can always set \( y = 0 \) and solve for \( x \).

Narysuj wykres funkcji: y = 2x - 2. a) Wyznacz miejsce zerowe funkcji. b) Wyznacz współrzędne punktu przecięcia wykresu funkcji z osią OY.

This problem involves analyzing the linear function y = 2x - 2. Learn how to find the zero of the function and the coordinates where the graph intersects the y-axis. Perfect for students in Grades 6-8 studying linear equations.

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