A line on a graph showing the general direction that a group of points seem to be heading.
Definition of Line of Best Fit
100
What is a, h, and k in y=-2|x+5|-12 and what is the vertex?
a=-2, h=-5, k=-12
Vertex: (-5,-12)
100
Solve for y: 12-3y+18x>33
y<6x-7
100
What is the perimeter of a rectangle that has a length of 8 inches and a width that is one more inch than twice the length?
2(8)+2[2(8)+1]=50 inches
200
Find the direct variation of x=15 and y=30.
k=2
200
What type of correlation is:
x: 40 50 60 70 80
y: 100 88 80 68 65
Negative
200
What is the order of transformation of y=-4|x+3|+8
Horizontal shift to the left 3
Stretch by a factor of 4
Reflect over x-axis
Vertical shift up 8
200
True or False?
(2,3) Satisfies the following inequality, y>x+2 so we shade to the right of the line (below the line).
False
200
Factor: x^2-6x-55
(x+5)(x-11)
300
Write an equation for the direct variation when y=21 and x=3
y=7x
300
What type of correlation does not have a line of best fit?
No correlation
300
Transform the parent function y=|x| up 2, to the right 4, and compressed by a factor of (1/4)
y=(1/4)|x-4|+2
300
True or False?
(-3,4) satisfies y>2|x+1|-3, shade inside the absolute value, and line is solid
False
300
What is the slope given: (0,2) and (2,6)?
slope=2
400
Find the direct variation of x=-5, y=20 and find x when y=2
k=-4
y=-(1/2)
400
Given the line of best fit defined by y=1.45x+.005, where x is minutes and y is amount of problems completed. Predict how many problems will be completed in an hour and a half.
130.505 problems
400
What is the equation of an absolute graph with a vertex of (2,3), the right side of the absolute value has a slope of 2, and is reflected over the x-axis?
y=-2|x-2|+3
400
What is the inequality of a graph that is linear, has a y intercept of -4, a slope of -3, and the solutions to the inequality are in the shaded region that includes (0,0) but not the line itself.
y>-3x-4
400
You need to drive to Clarion and you want to figure out what rate you need to drive in order to get there. Your distance varies directly with the time you traveled and you drive k miles per hour. You want to get to Clarion in x=40 min. and Clarion is y=37 miles away.
k=55.5 mi/hr
500
Find and graph the direct variation of a graph containing the point (-2,8)
k=-4
y=-4x
*see teacher to get graph checked*
500
Find the line of best fit for:
x: 5 10 15 20 25
y: 21 18 16 7 1
y=-1.02x+27.9
500
Graph: y>(1/2)|x-1|+4
*See teacher to check graph*
500
Graph: y≥4x-1
*see teacher to check graph*
500
You and your partner are on a date. You only have $40 to spend in the night. Mini-golf (x) is $2.35 per game and the movies (y) are $7 per ticket. Write an inequality that will represent this situation.