College Math Placement Practice Test 2025 - Free College Math Questions and Study Guide

The equation given, y = 3x + 10, is in the slope-intercept form of a linear equation, which is expressed as y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the coefficient of x is 3. This means that the slope of the line is 3.

The slope indicates the rate at which y changes for a unit change in x; specifically, for every increase of 1 in x, y increases by 3. This demonstrates that the line rises steeply when graphed. Understanding the structure of the equation is crucial, as it clearly defines the relationship between the variables x and y, which in turn informs the direction and steepness of the line represented.