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.

AlgebraLinear EquationsSlope-intercept FormY-intercept
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 44. 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:
y=mx+by = mx + b
where mm is the slope and bb is the y-intercept.
The y-intercept is the point where the line crosses the y-axis, which occurs when x=0x = 0. Therefore, the y-intercept is the point (0,b)(0, b).
In this case, the problem does not provide enough information to determine the y-intercept. We are given the slope m=4m = 4, 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 (0,y)(0, y), where yy 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 b=0b = 0. Therefore, the ordered pair representing the y-intercept would be (0,0)(0, 0).

3. Final Answer

(0,0)(0, 0)