Linear Functions - graphing

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function. It indicates how much y changes for a unit change in x.

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 is the y-intercept of the equation y = 3x - 5?

Back

The y-intercept is -5.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

How do you graph a linear function?

Back

To graph a linear function, identify the y-intercept, use the slope to find another point, and draw a straight line through the points.

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope is -2.

Front

What does it mean if a linear function has a slope of 0?

Back

A slope of 0 means the line is horizontal, indicating that y does not change as x changes.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the graph where the inequality holds true.

Front

How do you determine if a point lies on the line of a linear function?

Back

Substitute the x-coordinate of the point into the function and see if the resulting y-value matches the y-coordinate of the point.