Coordinate Geometry Review

Front

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

Back

(7,9)

Front

What is the approximate perimeter of the triangle?

Back

29 units

Front

Which line is parallel to y = 2x - 7?

Back

y = 2x - 3

Front

A line is perpendicular to y = 2x - 7. What is the slope of this line?

Back

-1/2

Front

What is the area of the triangle shown in the coordinate plane?

Back

28 square units

Front

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

Back

d = √((x2 - x1)² + (y2 - y1)²)

Front

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

Back

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

Front

What is the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope m = (y2 - y1) / (x2 - x1)

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.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.