Conquer the College Math Placement Challenge 2026 – Step Up and Shine!

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.