If a line has the equation , what is the value of the y-intercept?

The equation of a line is typically expressed in the slope-intercept form, which is , where represents the slope and is the y-intercept. For the equation , the y-intercept is the value of , which is 2. This means the line crosses the y-axis at the point (0, 2).

Another way to visualize the y-intercept is by thinking about where the line meets the vertical y-axis. Since the x-coordinate is zero at the y-axis, simply plugging in into the equation confirms that when , . So, (0, 2) is indeed that sweet spot where the line hugs the y-axis!