The slope of the equation y = 3x is 3. It indicates a rise of 3 units on the vertical axis for each unit increase on the horizontal axis, and this slope is constant along the straight line.
The slope of the equation y = 3x can be determined by recognizing that it is in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. In the equation y = 3x, there is no b term written, which implies that the y-intercept is 0. However, the coefficient in front of x, which is 3, represents the slope.
Therefore, the slope is 3. This means there is a rise of 3 on the vertical axis for every increase of 1 on the horizontal axis. The slope of a straight line remains constant throughout its length, which is illustrated in Figure A1, where the line graph shows a consistent increase in y relative to x.