Slope
if you are given points (x1,y1) and (x2,y2) how can you find the rate of change (slope) between the two points?
m= (x2-x1)/(y2-y1)
What is the name of the form y-y1=m(x-x1)
point- slope form
What is the formula used to find the distance between two points?
distance formula:
sqrt((x2-x1)^2+(y2-y1)^2
The three medians of a triangle are concurrent at a point. What is this point called
The centroid
In what 2023 blockbuster movie would you hear the line, "I am Kenough"?
Barbie Movie
What is the slope of the line parallel to y = 3x-1
3
Write an equation of a line with a slope of 5 and a y intercept of -1
y=5x-1
M(-5, 2) is the midpoint of AB. If point A is (-3, 6), what are the coordinates of point B?
(-7,-2)
In triangle ABC, the medians intersect at point G. If the full length of median CF is 24, what is the length of the shorter segment, FG?
8
What is the name of the NHL team that plays at the UBS Arena in Elmont?
NY Islanders
What is the slope of a line perpendicular to the line
y= -2/3x-10
3/2
Which equation represents a line parallel to y=4x+6 and passes through the point (-3,2)
y-2=4(x+3)
A circle has its center at (3, -2) and passes through the point (7, 1). What is the length of its radius?
5
In a right triangle, the two legs have lengths of 3 inches and 5 inches. What is the length of the hypotenuse?
sqrt34
What three-letter sandwich, a breakfast staple, is famously ordered at a Long Island deli?
BEC (bacon egg and cheese)
What is the slope of a perpendicular line to the line 2x-y=7
-1/2
What two things must you find to write the equation of a perpendicular bisector?
The midpoint and the perpendicular slope
Find the coordinates of point F that divides the directed line segment DE from D(-4, -2) to E(1, 8) in a 2:3 ratio.
(-2,2)
In a right triangle, one leg has a length of 5 feet and the hypotenuse has a length of 13 feet. What is the length of the other leg?
12 feet
Which artist's 2024 album is called The Tortured Poets Department?
Taylor Swift
A line passes through (1,4) and (3,y). If the slope is -2, what is the value of y?
y=0
What is the equation of the perpendicular bisector of NY, which has endpoints N(-11,5) and Y(5,-7)
y+1=4/3(x+3)
A circle has its center at (3, -2) and passes through the point (7, 1). What is the length of its diameter?
10
Two sides of a triangle have lengths of 2 and 8. The length of the third side must be greater than what number and less than what number?
hint: triangle inequlity theorem
greater than 6 and less than 10
What HBO series, based on a video game, stars Pedro Pascal as a smuggler named Joel?
The Last of Us