College Math Placement Practice Exam - Free Prep Questions & Study Guide

The slope of a line in the equation of the form y = mx + b is determined by the coefficient of x, which is represented by m. In the equation provided, y = 4x + 7, the coefficient of x is 4. Therefore, the slope of the line is 4.

This slope indicates that for every 1 unit increase in x, the value of y increases by 4 units. Understanding the slope is crucial because it describes the steepness and direction of the line. A positive slope, like 4, means the line rises as you move from left to right.

The other values presented do not correspond to the slope based on the equation format. The number 7 represents the y-intercept, indicating where the line crosses the y-axis, but is not related to the slope itself. The fractions and negative numbers would represent different inclinations not applicable to this equation. Thus, the correct answer aligns with the definition of slope in the context of a linear equation.