Unit 3 Review

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

The y-intercept is the value of y when x = 0.

Front

If a taxi service charges a flat fee plus a per-mile charge, how can you express the total cost (y) in terms of miles (x)?

Back

y = mx + b, where m is the cost per mile and b is the flat fee.

Front

What is the distance between the points (3, 4) and (7, 1)?

Back

Distance = √((7 - 3)² + (1 - 4)²) = √(16 + 9) = √25 = 5.

Front

In the equation y = 2x + 5, what does the number 5 represent?

Back

The number 5 represents the y-intercept.

Front

What is the meaning of a slope of 0 in a linear equation?

Back

A slope of 0 indicates a horizontal line, meaning y does not change as x changes.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the significance of the coordinates in a coordinate plane?

Back

Coordinates (x, y) represent the position of a point in relation to the x-axis and y-axis.

Front

If a linear equation has a negative slope, what does that indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.