What is the y-intercept of y = -3x + 4?

The y-intercept of the equation y = -3x + 4 is 4.

In the equation y = -3x + 4, the y-intercept is the point where the line crosses the y-axis. This occurs when the value of x is 0. To find the y-intercept, we substitute x = 0 into the equation. When we do this, the equation simplifies to y = -3(0) + 4, which equals y = 4. Therefore, the y-intercept is 4.

The y-intercept is an important feature of a linear equation in the form y = mx + c, where m represents the gradient (or slope) and c represents the y-intercept. In this case, the gradient is -3, and the y-intercept is 4. This means that the line will cross the y-axis at the point (0, 4). Understanding the y-intercept helps in graphing the line and analysing its behaviour. For instance, knowing the y-intercept allows you to quickly plot the starting point of the line on a graph, making it easier to draw the entire line accurately.