Question

The equation of a line is y=4-5x What is the y-intercept of the line?

Answer 1

The y-intercept of the line described by the equation y=4-5x is 4.

Step-by-step explanation:

The student inquired about the y-intercept of the line represented by the equation y = 4 - 5x. To determine the y-intercept, one looks at the constant term, which indicates the value of y when x is zero. The standard slope-intercept form of a linear equation, y = mx + b, elucidates that 'b' is the y-intercept. In this specific equation, the y-intercept is plainly 4. This analytical approach underscores the fundamental relationship between the constant term and the y-intercept, providing a concise method for determining this key parameter in linear equations.

Answer 2

1. The y-intercept of the line y=4-5x is 4.

2. Explanation:

The equation of a line in the slope-intercept form is y = mx + b, where m is the slope, and bis the y-intercept. In the given equation y = 4 - 5x, the constant term 4 represents the y-intercept.

The y-intercept is the point where the line crosses the y-axis. In this case, when x = 0, you can see that y = 4, giving the y-intercept as the point (0, 4).

Therefore, the y-intercept of the line is 4, and it indicates that the line intersects the y-axis at a height of 4 units.

The explanation provides a clear understanding of the concept of a y-intercept and how to identify it from the equation of a line. It emphasizes the importance of the constant term in the equation and relates it to the graphical interpretation of the y-intercept on a coordinate plane.