How do you find the y-intercept of the line y = 3x + 5?

The y-intercept of the line y = 3x + 5 is 5.

To find the y-intercept of a line given by the equation y = mx + c, you need to identify the value of c. In this equation, y = 3x + 5, the term 3x represents the slope (or gradient) of the line, and the number 5 is the y-intercept. The y-intercept is the point where the line crosses the y-axis.

When a line crosses the y-axis, the value of x is always 0. So, if you substitute x = 0 into the equation, you can see what y equals at that point. For this equation, substituting x = 0 gives y = 3(0) + 5, which simplifies to y = 5. Therefore, the y-intercept is 5.

In graphical terms, this means that the line will cross the y-axis at the point (0, 5). This is a key feature of the line and helps in sketching its graph. The y-intercept is particularly useful because it provides a starting point for drawing the line on a graph. From this point, you can use the slope (3 in this case) to determine other points on the line by moving up 3 units for every 1 unit you move to the right.