Open Up Resources Unit 3 Review

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

If the slope of a line is positive, what does that indicate about the relationship between the variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What is the y-intercept in a linear equation?

Back

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

Front

In the equation v = 2,000t + $12,000, what does the term $12,000 represent?

Back

$12,000 represents the initial value of the antique car before any depreciation.

Front

How do you find the y-intercept from the equation of a line in slope-intercept form (y = mx + b)?

Back

The y-intercept is the value of b in the equation.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

If a car's value decreases by $2,000 per year, what is the slope of the equation representing its value over time?

Back

The slope is -$2,000.

Front

What is the slope in the equation y = 2x + 3?

Back

The slope is 2.

Front

How do you calculate the total cost if there is a flat membership fee and a per-class fee?

Back

Total Cost = Membership Fee + (Cost per Class * Number of Classes)