Multiple Representations of Linear Functions

Front

What does the slope of a linear function represent in a real-world context?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable. For example, in a cost function, it indicates how much the cost increases for each additional unit.

Front

What is the general form of a linear equation?

Back

Front

How do you find the slope from two points on a line?

Back

Front

What does the y-intercept of a linear function represent?

Back

Front

How can you determine if a function is linear from a table of values?

Back

A function is linear if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Front

What is the meaning of the x-intercept in a linear function?

Back

Front

How do you convert a linear equation from slope-intercept form to standard form?

Back

Front

What is the significance of parallel lines in terms of their slopes?

Back

Parallel lines have the same slope but different y-intercepts, meaning they never intersect.

Front

What is the significance of perpendicular lines in terms of their slopes?

Back

Front

How can you graph a linear equation?

Back

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