Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success!

The equation given is in the slope-intercept form, which is represented as \( y = mx + b \). In this format, \( m \) represents the slope of the line and \( b \) represents the y-intercept.

In the equation \( y = 4x - 1 \), the coefficient of \( x \) is 4. This indicates that the slope \( m \) of the line is 4. The slope can be understood as the rate of change of \( y \) with respect to \( x \). A slope of 4 means that for every unit increase in \( x \), the value of \( y \) increases by 4 units. This creates a steep line that rises quickly as you move from left to right on a graph.

The other options do not represent the slope of the line derived from this equation. While -1 represents a slope that would indicate a line slanting downwards, 1 would indicate a less steep line, and 0 would suggest a flat line, none of these accurately describe the line represented by the given equation. Thus, the correct answer indeed confirms that the slope is 4.