MIX 3

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you find the value of x in a system of equations?

Back

You can use methods such as substitution, elimination, or graphing to find the value of x that satisfies all equations in the system.

Front

What is the rate of change in a linear function?

Back

The rate of change is the ratio of the change in the dependent variable to the change in the independent variable, often represented as the slope of the line.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Front

What is the significance of the y-intercept 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 = 0.

Front

How do you interpret the rate of change from a graph?

Back

The rate of change can be interpreted as the steepness of the line on the graph, indicating how much y changes for a unit change in x.

Front

What is the difference between a linear function and a nonlinear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a nonlinear function has a variable rate of change and graphs as a curve.

Front

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

Back

The slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.