Midpoint
The midpoint between any two points is the average of the coordinates for x and y.
TRUE
In what famous theorem was the distance formula based from?
Pythagorean Theorem
y = 2x + 4
y = 3x + 4
Neither
True or False: Parallel Lines have the same y-intercept.
False
What is the opposite reciprocal of 4?
-1/4
Find the midpoint between (1, 4) and (-3, -8).
(-1, -2)
Find the distance between the points:
(7, 5) and (9, 6)
1.73
y = x + 2
y = -x + 1
Perpendicular
What is the slope of the line parallel to the line y = 4x - 1?
4
What is the slope of the line perpendicular to y = -3x + 2?
1/3
Jack, Jill, and Anna are in the same line for an ice cream truck. If Jack is the first in line at point (0, 5) and Jill is at the last of the line at point (10, 7). Find the point where Anna is, given that she is in the middle of the line.
(5, 6)
TRUE OR FALSE:
The distance between any two points can be found by getting the square root of the sum of squares of both x-changes and y-changes of the coordinates.
TRUE
y = x + 1
x - y = 2
Parallel
What is the slope of the line parallel to 2x + y = 8?
-2
What is the slope of the line perpendicular to 2x + y = -3?
1/2
(2, -7)
How many units will Jack travel if he resides at A(2, 3) and he plans to go to the church located at point B(7, 15)?
13
y = (1/2)x - 1
x - 2y = 4
Parallel
If a line y = mx + b is parallel to y = 3x + 4 and goes through the point (1, 1), then what is b?
-2
If a line y = mx + b is perpendicular to y = x - 1 and goes through the point (-1, 4), then what is b?
What is the other endpoint with (5, 7) if (1, 2) is the midpoint?
(-3, -3)
Find the perimeter of a rectangle with vertices:
(2, 2), (2, 6), (8, 6) and (8, 2).
Clue: P = 2l + 2w
20
3x + 4y = 12
4x - 3y = 9
Perpendicular
If a line y = mx + b is parallel to 3x + y = 7 and goes through the point (-2, 15), then what is b?
9
If a line y = mx + b is perpendicular to 4x - y = 8 and goes through the point (-4, 20), then what is b?
19