Geometry Chapter 3.3_3.4 REVIEW

Front

What is the slope of a line that is perpendicular to the line passing through the points (1, 2) and (3, 6)?

Back

The slope of the line passing through (1, 2) and (3, 6) is 2. The slope of a line perpendicular to it is -\frac{1}{2}.

Front

Write the equation of a line in point-slope form that passes through the point (3, 5) with a slope of -2.

Back

The equation is y - 5 = -2(x - 3).

Front

Find the slope of the line that passes through the points (1, 2) and (4, 8).

Back

The slope is 2.

Front

Determine the equation of a line parallel to y = -\frac{4}{5}x + 3 that passes through the point (-5, 2).

Back

The equation is y = -\frac{4}{5}x + \frac{14}{5}.

Front

What is the equation of a vertical line passing through the point (-4, 7)?

Back

The equation is x = -4.

Front

Define slope in the context of a line on a graph.

Back

Slope is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is given by y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

How do you find the slope between two points (x_1, y_1) and (x_2, y_2)?

Back

The slope m is calculated as m = \frac{y_2 - y_1}{x_2 - x_1}.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.