Final answer:
The question pertains to Mathematics, focusing on the slope-intercept form of linear equations. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. The equation y = -4x + 1 has a slope of -4 and a y-intercept of 1.
Step-by-step explanation:
The subject of this question is Mathematics, specifically the topic of linear equations and their representations in slope-intercept form.
The slope-intercept form of a linear equation is traditionally written as y = mx + b, where m represents the slope and b represents the y-intercept. The given equation y = -4x + 1 indicates a line with a slope (m) of -4 and a y-intercept (b) of 1. The slope describes the steepness and direction of the line, while the y-intercept is the point where the line crosses the y-axis.
It's crucial to recognize that regardless of the symbols used, the coefficient of x always indicates the line's slope, and the constant term is always the y-intercept.
For example, the equations Y2 = -173.5 + 4.83x - 2(16.4) and Y3 = -173.5 + 4.83x + 2(16.4) both have the same slope as the line of best fit, which is y = -173.5 + 4.83x.