Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you determine the slope of a linear function from its graph?

Back

The slope (m) is calculated as the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How can you find the rate of change from a table of values?

Back

The rate of change is found by calculating the difference in y-values divided by the difference in x-values between two points.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved together.

Front

How do you interpret the solution of a system of equations graphically?

Back

The solution is the point where the graphs of the equations intersect, representing the values of the variables that satisfy all equations.

Front

What is the meaning of the slope in a real-world context?

Back

The slope represents the rate of change of one quantity with respect to another, such as speed or cost per item.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert, solve for y to get the equation in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients represent the slope and y-intercept, indicating how steep the line is and where it crosses the y-axis.