Math 1 MOY Review

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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 and the direction it travels (positive slope goes up, negative slope goes down).

Front

How do you solve a linear equation for a specific variable?

Back

To solve a linear equation for a specific variable, isolate that variable on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Front

What is the y-intercept of a linear function?

Back

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

Front

What does it mean for a linear equation to have no solutions?

Back

A linear equation has no solutions when the lines represented by the equations are parallel and never intersect.

Front

What is the standard form of a linear equation?

Back

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

Front

How can you determine if two linear equations are equivalent?

Back

Two linear equations are equivalent if they represent the same line, meaning they have the same slope and y-intercept.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is the tangent of the angle that the line makes with the positive x-axis. A steeper slope corresponds to a larger angle.

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. Solutions to the system are the points where the equations intersect.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find at least two points that satisfy the equation, plot them on a coordinate plane, and draw a straight line through those points.