8th Grade NC Check-in C Review

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the ratio of the change in the y-value to the change in the x-value, often represented by the slope (m) in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

How do you determine if a line is a good representation of a data set?

Back

A line is a good representation of a data set if it closely follows the trend of the data points, indicating a strong correlation.

Front

What do the x and y axes represent in a graph of study hours vs. test scores?

Back

In this graph, the x-axis represents the number of hours studied, and the y-axis represents the test scores.

Front

How do you find the intersection point of two lines?

Back

To find the intersection point of two lines, set the equations equal to each other and solve for x, then substitute x back into either equation to find y.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2, indicating that for every 1 unit increase in x, y increases by 2 units.

Front

What does a greater rate of change indicate about a function compared to another?

Back

A greater rate of change indicates that the function increases or decreases more steeply than the other function.

Front

What is the significance of the coordinates (-1, -2) in the context of two intersecting lines?

Back

The coordinates (-1, -2) represent the point where the two lines intersect, meaning both lines have the same value at that point.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if two functions have the same y-intercept?

Back

If two functions have the same y-intercept, they cross the y-axis at the same point, but they may have different slopes.