CBA Review Fall 2024

Front

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

Back

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

Front

How do you find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line through the origin, meaning that the ratio of the two quantities is constant.

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape a certain distance in a specified direction.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as (0, b) in the equation y = mx + b.

Front

If a car travels 280 miles in 7 hours, what is its speed?

Back

The speed is calculated as distance/time, so the speed is 280 miles / 7 hours = 40 miles per hour.

Front

What is the translation rule for moving a point 3 units left and 4 units up?

Back

The translation rule is (x, y) → (x - 3, y + 4).

Front

How do you determine if a table of values represents a proportional relationship?

Back

To determine if a table represents a proportional relationship, check if the ratios of corresponding values are constant.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.