Fall Interim Review 2: Slope & Rate of Change

Front

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

Back

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

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.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If two lines are parallel, what can be said about their slopes?

Back

Parallel lines have the same slope.

Front

If two lines are perpendicular, what can be said about their slopes?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

Find the slope of a line that passes through the points (1, 2) and (4, 5).

Back

Slope = (5 - 2) / (4 - 1) = 3/3 = 1.

Front

Find the slope of a line that passes through the points (2, 3) and (2, 7).

Back

Slope is undefined because the x-coordinates are the same.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.