sub work 12/13

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope represents the rate of change; for example, in a cost equation, it shows how much the cost increases per unit.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0; it represents the starting point of the line on the y-axis.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends steeply from left to right.

Front

What is the total cost equation for a service that charges a flat fee plus a variable rate?

Back

The total cost can be represented as y = mx + b, where m is the variable rate per unit and b is the flat fee.

Front

How do you calculate the remaining balance after partial payments?

Back

Remaining balance = Total amount - (Amount paid + Amount received from other sources).

Front

What is the significance of the x-value in a linear equation?

Back

The x-value represents the independent variable, which can be changed to see how it affects the dependent variable (y).

Front

How do you interpret the meaning of a negative slope in a real-world scenario?

Back

A negative slope indicates a decrease in the dependent variable as the independent variable increases, such as a decrease in savings over time.

Front

What is the formula to calculate monthly savings needed to reach a financial goal?

Back

Monthly savings = (Total goal - Amount already saved) / Number of months to save.