Lines drawn on a coordinate plane have a slope and a vertical intercept. The vertical intercept indicates where the graph of the line meets the vertical axis. Since the vertical axis is often referred to as the y-axis, the vertical intercept is often called the “y-intercept.” A line represents a proportional relationship when the vertical intercept is 0.
Here is a graph of a line showing the amount of money paid for a new cell phone and monthly plan.
The vertical intercept for the graph is at the point (0,200) and means the initial cost for the phone was $200.
A slope triangle connecting the two points (0,200) and (2,300) can be used to calculate the slope of this line. The slope of 50 means that the phone service costs $50 per month in addition to the initial $200 for the phone.