Final answer:
The slope of the equation y = -2/3x + 1 is -2/3, and the y-intercept is 1. The slope indicates downward steepness, and the y-intercept is the point where the line crosses the vertical y-axis.
Step-by-step explanation:
When analyzing the equation y = -2/3x + 1, it can be recognized as being in slope-intercept form, which is generally represented as y = mx + b, where m represents the slope and b represents the y-intercept. So, for this equation, the slope (m) is -2/3, suggesting that for each step you move to the right on the x-axis, you move down 2/3 of a step on the y-axis. The y-intercept (b) is 1, meaning that the line crosses the y-axis at the point (0, 1). This content loaded explanation highlights that the slope is the measure of the steepness of the line and the y-intercept is where the line crosses the y-axis.