Geometry Semester Review

Front

What is the graph of the equation y = 3?

Back

A horizontal line that crosses the y-axis at 3.

Front

How do you calculate the distance between two points (-12, 1) and (12, -1)?

Back

Use the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]. The distance is 24.08.

Front

What is the slope of a line perpendicular to y = 1/3x - 7?

Back

The slope of the perpendicular line is -3.

Front

What is the equation of the line that is perpendicular to y = 1/3x - 7 and passes through (1, -1)?

Back

y = -3x + 2.

Front

How do you find the midpoint of a segment with endpoints (4, 12) and (-6, 14)?

Back

Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2). The midpoint is (-1, 13).

Front

What is the distance formula in geometry?

Back

d = √[(x2 - x1)² + (y2 - y1)²].

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you determine the slope of a line given its equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What is the slope of the line y = 1/3x - 7?

Back

The slope is 1/3.

Front

What is the formula for finding the equation of a line given a point and a slope?

Back

Point-slope form: y - y1 = m(x - x1).