Silver Rank: Writing Linear Functions

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 of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

Use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equation for Sonia's lunch account after x days?

Back

40 - 2x

Front

How do you calculate the total cost of a service with a fixed fee and a variable cost?

Back

Add the fixed fee to the product of the variable cost per unit and the number of units used. For example, C = fixed fee + (variable cost per unit * number of units).

Front

What is the equation for Juanita's cell phone bill based on her usage?

Back

C = 15 + 0.20x

Front

How do you determine the equation of a line from a table of values?

Back

Identify the slope (change in y/change in x) and the y-intercept from the table, then use the slope-intercept form to write the equation.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.

Front

What is the y-intercept of the equation y = -3x + 4?

Back

The y-intercept is 4.