Equation of a Line
From a Table or Graph
Parallel & Perpendicular
Sequences and Direct Variation
Linear Regression and Causation
100
Write the equation of the line that passes through the point (3, -2) and has a slope of 9.
Point Slope Form
y+2=9(x-3)
100
Question #14 in packet
y=2
100
What is the slope of a line that is perpendicular to y=4x+6?
-1/4
100
In a sequence of numbers, a2=3, a3=9, a4=15. Write the equation used to find the nth term in the sequence.
an=6n-9
100
Question #11 in packet.
B
200
Write the equation of a line that passes through the point (5, -6) and has a slope of -0.2 in Slope Intercept Form.
y=-0.2x-5
200
Question #5 in packet.
y=5/3x-3
200
What is the equation of a line that is parallel to y=3x-12 and goes through the point (-3, -6)? Point Slope form
y+6=3(x+3)
200
Y varies directly as x. If y is 12 when x is 3, what is y when x is 36?
x=144
200
Run a linear regression using the points (1,2), (3, 7), and (12, 22). What is the correlation coefficient?
r=0.957
300
What is the equation of the line in point slope form? Use the point (5, -1).
y+1=-4/5(x-5)
300
Question #8 in Packet
y=2x+1
300
What is the equation of a line that is perpendicular to y=4x+6 and goes through the point (-3, 4)
y=-1/4x+3.25
300
Question #2 in packet.
An=4n+2
300
After you run a linear regression in DESMOS you get the values m=3.456 and b=-7.8. Write the linear regression equation and solve for y when x=15.
y=44.04
400
Write the equation of a line that goes through the points (1, 9) and (-1, 13) in Slope Intercept Form.
y=-2x+11
400
Question #7 in packet
y+2=-2(x-3)
400
Question #10 in packet
y=2/5x+6
400
The distance a ball falls in water is directly proportional to the time it takes to drop. If the ball falls 14 feet in 4 seconds, how many feet will if fall in 5.5 seconds?
19.25 feet
400
Run a linear regression using the points (25, 100), (32, 97), (37, 84), (45, 62). Using the linear regression equation, what is y when x=120?
y=-81.444
500
Write the equation of the line that passes through the points (3, -2) and (-1, 6). Standard Form
2x+y=4
500
Draw a graph that has a slope of -3 and an x-intercept of (3,0). Label the y-intercept.
y-intercept = (0,9)
500
What is the equation of a line that is perpendicular to 4x+3y=15 and goes through the point (1, 2)? Point Slope form
y=-3/4x+2.75
500
In a sequence of numbers a5=4, a6=5.5, a7=7. What would be the value of the 27th number in the sequence?
37
500
Question #15 in the packet. Answer ALL parts
y=19x+4.571
r=0.97
Strong positive
$232.57