MIX 3 retry

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 solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What does the slope of a line represent in a linear function?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable. It is calculated as the rise over run.

Front

What is the y-intercept of a linear function?

Back

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

Front

How do you graph a linear function given in slope-intercept form?

Back

1. Identify the slope (m) and y-intercept (b) from the equation y = mx + b. 2. Plot the y-intercept on the graph. 3. Use the slope to find another point.

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 does the inequality y > mx + b represent graphically?

Back

It represents the region above the line y = mx + b, where the line itself is not included.

Front

How do you evaluate a function at a specific value?

Back

Substitute the specific value into the function's equation and simplify to find the output.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

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.