Linear functions

Front

What is the slope-intercept form of a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What is the y-axis in a graph?

Back

The y-axis is the vertical axis in a graph, used to represent the dependent variable.

Front

What is the x-axis in a graph?

Back

The x-axis is the horizontal axis in a graph, used to represent the independent variable.

Front

What does a horizontal line on a graph indicate?

Back

A horizontal line indicates that the y-value remains constant as x changes, meaning there is no change in y.

Front

What does a vertical line on a graph indicate?

Back

A vertical line indicates that the x-value remains constant as y changes, which is not a function.

Front

What does a line with a positive slope look like?

Back

A line with a positive slope rises from left to right, indicating that as x increases, y also increases.

Front

What does a line with a negative slope look like?

Back

A line with a negative slope falls from left to right, indicating that as x increases, y decreases.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does the term 'constant speed' mean in a distance-time graph?

Back

Constant speed means that the distance covered is proportional to the time taken, represented by a straight line.