8th Grade Math STAAR Category 2 Part 3

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you calculate the total distance traveled if you know the speed and time?

Back

Total distance can be calculated using the formula: Distance = Speed × Time.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x). It can be represented as an equation, a graph, or a table.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant ratio between the two variables. This means that as one variable increases, the other variable increases at a constant rate.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a relationship is linear from a table of values?

Back

A relationship is linear if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Front

What is the meaning of the term 'rate of change'?

Back

The rate of change describes how much one quantity changes in relation to another quantity. In a linear relationship, it is represented by the slope.

Front

What is the significance of the coordinates (x, y) in a graph?

Back

The coordinates (x, y) represent a point on the graph, where x is the value of the independent variable and y is the value of the dependent variable.