coordinate Geometry review

Front

What is the distance formula in coordinate geometry?

Back

The distance between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What does it mean for two lines to be parallel in coordinate geometry?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two lines are perpendicular?

Back

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

Front

What is the slope of a line that is perpendicular to a line with slope 4?

Back

The slope of the perpendicular line is -1/4.

Front

If a line has the equation y = 3x + 2, what is its slope?

Back

The slope of the line is 3.

Front

What is the equation of a line parallel to y = 2x + 5 that passes through the point (1, 3)?

Back

The equation is y = 2x + 1.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the formula for the area of a triangle given its vertices in coordinate geometry?

Back

Area = 1/2 | x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) |.