Mathematics ACT Aspire Practice Test 2026 – Complete Study Resource

To find the slope of the line represented by the equation \(y = 3x + 2\), we can analyze the structure of the equation, which is in slope-intercept form, expressed as \(y = mx + b\). In this format, \(m\) stands for the slope of the line, and \(b\) represents the y-intercept, which is where the line intersects the y-axis.

In the given equation, the coefficient of \(x\) is \(3\). This coefficient directly indicates the slope of the line. The slope tells us how much \(y\) changes for a unit change in \(x\); in this case, for every increase of 1 in \(x\), the value of \(y\) increases by 3.

Understanding the concept of slope is crucial in graphing lines, as a slope of 3 suggests a relatively steep incline, and it helps in determining the direction and steepness of the line when plotted on a coordinate plane. Therefore, the slope of the line is indeed 3, confirming that choice B is the correct answer.