What is the y-intercept of the line represented by y = -x + 5?

To determine the y-intercept of the line represented by the equation ( y = -x + 5 ), we need to understand what the y-intercept signifies. The y-intercept is the point where the line crosses the y-axis, which occurs when the value of ( x ) is zero.

In the given equation, if we set ( x = 0 ):

[ y = -0 + 5 ] [ y = 5 ]

Thus, when ( x ) is 0, ( y ) equals 5. This means that the line crosses the y-axis at the point ( (0, 5) ). Therefore, the y-intercept of this line is 5, confirming that the correct answer is indeed 5.

Understanding the equation in this way illustrates how linear equations can be analyzed to find specific points on the graph, such as the y-intercept, simply by substituting the appropriate values for ( x ).