Linear Functions - graphing

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 goes (positive or negative).

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation in the form y = mx + b, set x = 0 and solve for y. The value of y at this point is the y-intercept.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you graph a linear function?

Back

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

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and can be represented by an equation of the form x = a, where 'a' is a constant.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0 and can be represented by an equation of the form y = b, where 'b' is a constant.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.