Slope Intercept Form
What is the formula for slope intercept form?
y = mx + b
What is the formula for point slope form?
y − y1 = m(x − x1)
Two lines in the same plane that never intersect are _____ lines.
Parallel Lines
A _______ is a graph that shows the relationship between two data sets. The two data sets are graphed as ordered pairs in a coordinate plane.
Scatter Plot
An _______ sequence is an ordered list of numbers in which the difference between each pair of consecutive terms, or numbers in the list, is the same.
Arithmetic
Write the equation given slope = -3 and y-intercept = -2 in slope intercept form?
y = -3x + 1/2
Write an equation in point-slope form of the line that passes through the point (−8, 3) and has a slope of 1/4.
y − 3 = 1/4 (x + 8)
Two lines in the same plane that intersect to form right angles are ______ lines.
Perpendicular Lines
Scatter plots can show ______ in the data.
Trends or patterns.
A _______ is an ordered list of numbers. Each number in a sequence is called a term. Each term an has a specifi c position n in the sequence.
Sequence
Write the equation given slope = 0 and y-intercept = -2 in slope intercept form?
y = -2
Use the slope m = −2 and the point (1, 2) to write an equation of the line.
y = −2x + 4.
Line a: y = 4x + 2 Line b: y = −1/4x + 3 Line c: y = −1/4x − 2. Which lines are perpendicular or parallel?
Lines b and c have slopes of −1/4 , so they are parallel. Line a has a slope of 4, the negative reciprocal of −1/4 , so it is perpendicular to lines b and c.
A _________ is a relationship between data sets. You can use a scatter plot to describe the ________ between data.
Correlation
Write the next three terms of the arithmetic sequence: −12, 0, 12, 24, . . .
36, 48, 60
Let (x1, y1) = (0, −3) and (x2, y2) = (4, 3). Write the equation in slope intercept form.
y = 3/2x − 3
Use the slope m = 1.5 and the point (8, 4) to write an equation of the line.
y = 1.5x − 8
Write an equation of the line that passes through (5, −4) and is parallel to the line y = 2x + 3.
Using m = 2 and b = −14, an equation of the parallel line is y = 2x − 14.
When a scatter plot has a lot random points spread around the graph what type of correlation is this?
No correlation.
Write the next three terms of the arithmetic sequence: 0.2, 0.6, 1, 1.4, . . .
1.8, 2.2, 2.6
Write an equation of each line that passes through the given points: (−3, 5), (0, −1).
y = −2x − 1
Write an equation in slope-intercept form of the line that passes through the given points: (1, 4), (3, 10).
y = 3x + 1
Write an equation of the line that passes through (−3, 1) and is perpendicular to the line y = 1/2 x + 3.
y = −2x − 5
When data show a positive or negative correlation, you can model the trend in the data using a ______. A ________ is a line drawn on a scatter plot that is close to most of the data points.
Line of fit
Write an equation for the nth term of the arithmetic sequence 14, 11, 8, 5, . . .. Then find a50. Use the formula: an = a1 + (n − 1)d.
an = −3n + 17 The 50th term of the arithmetic sequence is −133.