Key Characteristics of a linear graph
Inequality Notation
Interval Notation
Key Characteristics of a linear graph:
1. A linear graph is a straight line.
2. It has a constant rate of change, meaning that the slope of the line remains the same.
3. It passes through the origin (0,0) if the y-intercept is 0.
4. The slope-intercept form, y = mx + b, can be used to represent a linear graph, where m is the slope and b is the y-intercept.
Inequality Notation:
Inequality notation is used to represent a range of values in which a variable can exist. For a linear graph, inequality notation can be used to express the relationship between the x and y variables. For example, if a linear graph has a slope of 2, the inequality notation could be y > 2x, indicating that the y value is greater than 2 times the x value.
Interval Notation:
Interval notation is used to express a range of values on a number line. It is typically used to represent the domain or range of a function. For a linear graph, interval notation can be used to express the x-values or y-values that the graph covers. For example, if the linear graph covers all x-values between -3 and 5, the interval notation could be written as (-3, 5). If the linear graph covers all y-values between 2 and 7, the interval notation could be written as [2, 7].