3 Vocabulary Terms - Define/Illustrate
1. Y-intercept from a table 2. Y-intercept from a graph 3. Y-intercept from an equation
1. Y-intercept from a table: The y-intercept from a table is the value of y when x is equal to zero. It represents the point where the graph of the equation intersects the y-axis.
2. Y-intercept from a graph: The y-intercept from a graph is the point where the graph intersects the y-axis. It represents the value of y when x is equal to zero.
3. Y-intercept from an equation: The y-intercept from an equation is the constant term in the equation when x is equal to zero. It represents the point where the graph of the equation intersects the y-axis.
Illustration:
For example, let's say we have a table of values for the equation y = 2x + 3:
x | y
-------
0 | 3
1 | 5
2 | 7
3 | 9
In this case, the y-intercept from the table is 3, because it is the value of y when x is equal to zero.
When we represent this equation on a graph, we can see that the y-intercept is the point where the graph intersects the y-axis, which is at the coordinate (0, 3).
Finally, if we have the equation y = 2x + 3, the y-intercept from the equation is the constant term, which is 3. When x is equal to zero, y is also equal to 3, indicating that the graph intersects the y-axis at the point (0, 3).