To determine whether the line represented by the equation y = 4x + 5 crosses the vertical axis at y = 5, we need to understand what it means for a line to intersect the vertical axis, also known as the y-axis.
The y-axis is the vertical line where x = 0. When a line crosses the y-axis, we can find the point of intersection by substituting x = 0 into the equation of the line.
Let’s substitute x = 0 into the equation:
y = 4(0) + 5This simplifies to:
y = 5Thus, when x = 0, y = 5. This means that the line indeed crosses the vertical axis at the point (0, 5).
Therefore, the statement that the line crosses the vertical axis at y = 5 is true.