The equation y = x represents a straight line on a Cartesian plane. To find the slope of this line, we can identify the coefficient of x in the equation.
In the equation y = x, we can rewrite it in the slope-intercept form, which is y = mx + b, where m represents the slope and b is the y-intercept. Here, we can see that:
- m = 1 (the coefficient of x)
- b = 0 (the constant term, or where the line crosses the y-axis)
Thus, the slope of the line is 1. This means that for every unit increase in x, y also increases by one unit, resulting in a 45-degree angle with respect to the x-axis.