2.4 and 2.7 Flashcard 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

Find the distance between the points (3, 24) and (7, 56).

Back

32.2

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

Find the equation of the line of best fit for the given data: y = 4.19x - 163.41.

Back

This equation represents a linear relationship between x and y.

Front

How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

Find the midpoint of the segment with endpoints (4, 12) and (-6, 14).

Back

(-1, 13)

Front

If Joe worked 30 hours and earns $20 per hour, how much will he earn?

Back

$600

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

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