Understanding Slope and Dilations

Front

What is the formula to calculate the slope of a line passing through two points (x1, y1) and (x2, y2)?

Back

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

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

2

Front

Find the slope of the line that passes through the points (3, 2) and (8, 5).

Back

3/5

Front

Which of these represents point-slope form of a linear equation?

Back

y - y1 = m(x - x1)

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What are similar figures?

Back

Similar figures have the same shape but different sizes.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a similar figure by resizing it.

Front

True or False: A dilation produces a similar figure.

Back

True

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.