Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

In the equation y = mx + b, what does 'b' represent?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

To find the y-intercept from a linear equation in the form y = mx + b, set x to 0 and solve for y.

Front

What is the y-intercept of the equation y = 5x + 8?

Back

The y-intercept of the equation y = 5x + 8 is (0, 8).

Front

How do you determine the slope from a linear equation?

Back

The slope can be determined from a linear equation in the form y = mx + b by identifying the coefficient of x, which is 'm'.

Front

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

Back

The slope of the equation y = 3x - 4 is 3.

Front

Write an equation for the total cost if a service charges a flat fee plus a variable rate per hour. For example, if the flat fee is $25 and the hourly rate is $15, what is the equation?

Back

The equation for the total cost is y = 15x + 25, where y is the total cost and x is the number of hours.

Front

If a college's enrollment increases by a fixed number each year, how can you represent this with a linear equation?

Back

You can represent this with a linear equation in the form y = mx + b, where m is the number of students added each year and b is the initial enrollment.

Front

Create a linear equation for a scenario where a person charges a base fee plus a variable cost per item sold. For example, if the base fee is $3 and the cost per item is $2.50, what is the equation?

Back

The equation is y = 2.50x + 3, where y is the total cost and x is the number of items sold.