Writing Linear Equations Review

Front

What is the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as 'm' in the equation y = mx + b.

Front

How do you find the slope from a table of values?

Back

Calculate the change in y (rise) divided by the change in x (run) between two points.

Front

What does the expression 4m + 30 represent in a word problem?

Back

It represents a total cost where 30 is a fixed startup fee and 4 is the monthly fee multiplied by the number of months (m).

Front

What is a constant in a linear equation?

Back

A constant is a fixed value that does not change, often represented as 'b' in the equation y = mx + b.

Front

In the expression y = 15x + 80, what does 80 represent?

Back

80 represents the initial number of members in the fitness club before any monthly increases.

Front

What is the general form of a linear equation?

Back

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

Front

What does the term 'y-intercept' mean?

Back

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

Front

How do you write an equation from a word problem?

Back

Identify the fixed costs and variable costs, then express them in the form of y = mx + b.

Front

What does 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line, indicating how much y changes for a unit change in x.

Front

If a club charges a $100 annual fee and $5 per class, how would you express the total cost for c classes?

Back

The total cost can be expressed as 100 + 5c.