Geometry Topic 2 Review

Front

What is the definition of slope in geometry?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the rise over run (change in y over change in x).

Front

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

Back

If two lines are parallel, their slopes are equal.

Front

What is the slope of a line perpendicular to a line with slope m?

Back

The slope of a line perpendicular to a line with slope m is -1/m.

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

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation 3x - 4y = 12?

Back

To find the slope, rearrange to slope-intercept form (y = mx + b): 4y = 3x - 12, so y = (3/4)x - 3. The slope is 3/4.

Front

What is the slope of a line parallel to the line represented by the equation y = 2x + 5?

Back

The slope of a line parallel to y = 2x + 5 is 2.

Front

If a line has a slope of -1/3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with slope -1/3 is 3.

Front

What is the relationship between the slopes of two intersecting lines?

Back

The slopes of two intersecting lines are not equal and their product is not -1 unless they are perpendicular.