A function is represented by the graph.

Question

Complete the statement by selecting from the drop-down menu.

The y-intercept of the function​ ​y=2x−2
​ ​​is
Choose...
the y-intercept of the function represented in the graph.

Graph of a line passing through the point begin ordered pair 0 comma negative 2 end ordered pair and the point begin ordered pair 2 comma 1 end ordered pair.

Answer 1

To find the y-intercept of the function \( y = 2x - 2 \), we set \( x = 0 \) and solve for \( y \):

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

This means the y-intercept of the function \( y = 2x - 2 \) is \( -2 \).

Now, looking at the graph mentioned, it shows a line passing through the points \( (0, -2) \) and \( (2, 1) \). The point \( (0, -2) \) also represents the y-intercept of the line on the graph.

Therefore, we can complete the statement as follows:

The y-intercept of the function \( y = 2x - 2 \) is the same as the y-intercept of the function represented in the graph.