Distance & Mid-Point
Slope/Intercepts/Equations
Parallel & Perpendicular
Linear/Non-Linear Equation
100
Find the midpoint of the line segment joining the points P1 = (-2,4) and P2 = (9,0).
(7/2,2)
100
Find the slope between the points (5,3) and (8,1).
slope = -2/3
100
Give two lines. Determine if the lines are parallel, perpendicular or neither.
y=7x-9 and y=-7x+9
Neither
100
Determine whether the given function is linear or nonlinear. If it is linear, determine the average rate if change and write an equation from this data set.
Not Linear
200
The midpoint of the line segment from P1 to P2 is (-1,3). If P1 = (-7,8), what is P2 ?
P2 = (5, -2)
200
List the Intercepts of
y^2=x+16
(-16,0) (0,4) (0,-4)
200
Find the lines Parallel and Perpendicular to the line x = -14 that passes through the point (-1, 5)
Parallel: x=-1
Perpendicular: y=5
200
Determine whether the given function is linear or nonlinear. If it is linear, determine the average rate if change and write an equation from this data set.
Linear and Avg rate of Change is -5
y=-5x+3
300
Find the distance between the points (1,-2) and (5,2).
4sqrt2
300
Find the slope, x and y-intercept of the equation given
7x+4y=9
Slope = -7/4
x-int = (9/7,0)
y-int = (0,9/4)
300
Find a line parall to
4x-7y=50
that passes through the point (-6, -2). In slope intercept form
y=4/7x+10/7
300
Given the line of best fit is y=2.0357x-0.3214 and a correlation coefficient (r) = .2873. (x) represents hours of sleep and (y) represents test scores: predict the test score when getting 8 hours of sleep. Is this a good prediction yes/no and why?
y = 15.9642 or 16
not a good prediction. r value is close to 0
400
Find all points having an x-coordinate of 1 whose distance from the point (-3, -6) is 5.
(1,-3) and (1,-9)
400
Find an equation for the line given the points (-4,2) and (2,5). Express the equation in point-slope form.
y-2=1/2(x+4)
y-5=1/2(x-2)
400
Find a line perpendicular to
3x-y=7
that passes through the point (-2, -6). In slope intercept form
y=-1/3x-20/3
400
Find an equation for the line given the points (-5,-5) and (-3,-4). Express the equation in slope-intercept form.
y=1/2x-5/2
500
Given that triangle ABC has coordinates A=(-2,9) B=(3,5) and C=(-1,0). Determine the type of triangle.
Isosceles Triangle and Right Triangle
500
Find an equation for the line given the points (-3,4) and (5,-2). Express the equation in point-slope form and slope-intercept form.
y-4=-3/4(x+3)
y=-3/4x+7/4
y+2=-3/4(x-5)
500
Find the equations of the lines parallel and perpendicular to
3x+5y=720
that passes through the point (8, -3). In slope intercept form
Parallel:
y=-3/5x+9/5
Perpendicular:
y=5/3x-49/3
500
Imagine tracking the age of a car (in years, x) and its resale value (in thousands of dollars, y). Given the data points: (2,17),(4,13),(5,16),(7,9),(9,8) find the line of best fit, correlation coefficient(r) and predict when the alaue of the car reaches $3000.
y=-1.34247x+19.84932
r=-0.8984
x=12.55102 or 12.6 yrs