Coordinate Geometry

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

Find the y-coordinate of the midpoint of the line segment connecting (2, 3) and (4, 1).

Back

1

Front

What is the midpoint between (3, -1) and (7, -5)?

Back

(5, -3)

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 never intersect.

Front

Given the equation y = 5/7x + 2, what is the slope of the line?

Back

5/7

Front

If two lines have slopes m1 and m2, what condition must be met for them to be perpendicular?

Back

m1 * m2 = -1

Front

What is the slope of the line parallel to y = -6x + 3?

Back

-6

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

2

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.