What is the y-intercept of the line given by the equation y = -2x + 5?

To find the y-intercept of the line represented by the equation ( y = -2x + 5 ), we need to determine the value of ( y ) when ( x ) is equal to 0. The y-intercept is the point where the line crosses the y-axis, which happens when the value of ( x ) is zero.

Substituting ( x = 0 ) into the equation:

[ y = -2(0) + 5 ]

This simplifies to:

[ y = 0 + 5 ]

Thus, ( y = 5 ). Therefore, the y-intercept of the line is 5.

This means that on the graph, the line will cross the y-axis at the point (0, 5). The other options do not accurately reflect this value, confirming that 5 is indeed the correct answer.