The problem asks to find the y-intercept of a line, given that the slope of the line is $4$. The question also asks for the answer in the form of an ordered pair.
2025/3/6
1. Problem Description
The problem asks to find the y-intercept of a line, given that the slope of the line is . The question also asks for the answer in the form of an ordered pair.
2. Solution Steps
The equation of a line in slope-intercept form is given by:
where is the slope and is the y-intercept.
The y-intercept is the point where the line crosses the y-axis, which occurs when . Therefore, the y-intercept is the point .
In this case, the problem does not provide enough information to determine the y-intercept. We are given the slope , but we are not given any point on the line or the equation of the line.
Therefore, it is not possible to find the y-intercept.
If the y-intercept was provided in an image, the form of the ordered pair for the y-intercept would be , where is the value of the y-intercept.
Without additional information from the image, such as the equation of the line or the location of the line on a graph, it is impossible to determine the y-intercept.
If we assume the y-intercept to be zero, then . Therefore, the ordered pair representing the y-intercept would be .