Slope & Slope-Intercept Form
Direct Variation
Graphing Linear Equations
Transforming Linear Functions
Linear Regression
Graphing Linear Inequalities
100
Identify the slope and y-intercept from the graph.
Slope = -1/2
Y-intercept (0, 3)
100
If a linear relationship shows a direct variation, what form will the equation of the linear function be written in?
What is y=kx?
100
What is the slope of a line perpendicular to the line with the equation: y=-4x-1?
What is 1/4?
100
What is the linear parent function?
f(x)=x
100
What are the three types of association a scatterplot can have?
Positive, Negative, No Association
100
What happens when you multiply/divide both sides of an inequality by a negative?
The inequality sign flips.
200
What is the formula for slope?
y2-y1/x2-x1
200
What is the formula for k, the constant of variation?
k=y/x
200
Find the x- and y- intercepts of the linear function below.
4x - 2y = 20
x - intercept (5, 0)
y - intercept (0, -10)
200
Given g(x) = f(x) +d, describe the transformation from function (f) to function (g) and identify the value of d that transforms f into g.
Translation/Shift 5 units down
d = -5
200
What is the line that goes through the middle of the data?
Trend Line
or
Line of Best Fit
200
When an inequality uses the symbols shown below, describe the type of line its graph will have.
>=
<=
Solid (included)
300
Find the slope of the line given the two points below
(-19, -6) (1, -13)
What is -7/20?
300
If a linear relationship shows direct variation, how is m, the slope of the line related to k, the constant of variation?
They are the same.
m = k in a proportional relationship
300
Name the slope and the point on the line, given the point-slope form equation
y + 4 = -3(x - 5)
Slope = -3
Point (5, -4)
300
Vertical Transformations change which values of a linear function?
Horizontal Transformations change which values of the linear function?
Vertical - f(x)
Horizontal - x
300
What type of correlation is represented between time spent on your phone during class and test scores in that class?
Negative correlation
300
When an inequality uses the symbols shown below, describe the type of line its graph will have.
>
<
Dotted (not included)
400
Write the equation of a linear function in slope intercept form that has a slope of -1/2 and crosses through the point (-4, 5)
What is y=-1/2x+3?
400
Write a direct variation equation if k=-1/4
What is y=-1/4x?
400
What is the slope of a line perpendicular to the line with the equation 3x-5y=7
What is -5/3?
400
Describe the following transformations.
f(x+2)+8
Horizontal shift 2 units left
Vertical shift 8 units up
400
The scatterplot shows the relationship between the number of chapters and the total number of pages for several books. Use the line of best fit to predict how many chapters would be in a book with 180 pages.
18 chapters
400
How can you determine if an ordered pair is in the solution set of an inequality?
1. Plug in the ordered pairs into the inequality and check for a true statement.
2. Ensure that the ordered pairs either fall on a solid line or in the shaded region.
500
The equation of a linear function, below, is given in standard form
5x + 3y = 15
Rewrite the equation of the linear function is slope-intercept form.
What is y=-5/3x + 5?
500
If y varies directly with x, when x=-1, y=4
Find k=?
Use k to find y when x = 1/2
k = -4
When x =1/2 y = -2
500
Use point-slope form to write the equation of the line that goes through the point (-6,5) and is parallel to he line y=-2x+3
What is y-5=-2(x+6)
500
Describe the transformation:
2f(x)-1
Vertical stretch by a factor of 2
Vertical translation/shift down 1 unit
500
A researcher gathered data to predict the number of new types of plants, (y), that will be in a state park after (x) years. After making a scatterplot of the data, she determined a line of best fit. The equation is shown below.
y=0.25x+8
Based on the equation, what is the number of new types of plants that will be in the park after 24 years?
What is 14?
500
For the graph y < 2/3x-2, determine the following:
1. slope
2. y-intercept
3. dotted or solid line
4. shaded above or shaded below
Slope: 2/3
Y-intercept (0, -2)
Dotted Line
Shaded below