Vocabulary
A function that represents a straight line on a coordinate plane is called:
a.) linear functionb.) arithmetic sequence
c.) quadratic function
a.) linear function
What is slope intercept form?
y = mx + b
What does "b" represent in slope-intercept form (y=mx+b)
y-intercept
What are the 4 different types of slopes you can have?
(I'll give you one: positive)
Positive, Negative, Zero, and Undefined
Convert from standard form (ax + by = c) to slope-intercept form (y = mx + b)
2x + y = 3
y = -2x + 3
What is the difference (or d value) for the following sequence:
4,7,10,13,16…
D = 3
What does this formula find:
Y2-y1
x2-x1The slope / rate of change
What is the formula for slope on a graph?
Rise over Run
What does "m" represent in slope-intercept form (y=mx+b)
Slope
An undefined slope is what kind of line?
What is the equation in slope-intercept form if:
1) slope = 2 and y-intercept = -3
2) slope = -5/2 and y-intercept = -5
1) y = 2x - 3
2) y = -5/2x -5
What is the a1 value for the sequence below:
-3,-8,-13,-18…
a1= -3
What is an x-intercept?
Where the line crosses the x-axis
What is the formula for slope when given two points?
y2 - y1
-------- = m
x2 - x1
True or False: This set of points IS a function.
(2,5), (3,8), (0,6), (-4, 7), (3, 11)
False because "3" is listed more than once.
A zero slope is what kind of line?
Horizontal line
Find the slope between the points
1. (-1, 9) and (2, 3)
1. -6 / 3 = -2
What does “n” stand for in the formula:
an = a1 + d(n-1)
n = number of the term
What is a y-intercept?
Where the line crosses the y-axis
What form does your equation need to be in, in order to graph?
Slope-Intercept Form
What is the x and y intercepts of the following function:
-5x = 13 - y
y = 13
x = -13/5 or -2.6
if x = 0, will that be your x-intercept or y-intercept?
eg. (0, 4)
y - intercept
Convert from standard form (ax + by = c) to slope-intercept form (y = mx + b)
1) x - 3y = 12
1) y = 1/3 x - 4
What is the 14th term of this sequence?
5,9,13,17,21…
a14 = 57
1) What does equivalent mean?
1) They are the same
What is standard form?
Ax + By = C
Find the x and y intercepts of the following function:
6x = -y+ 18
x = 3
y = 18
if y = 0, is that your x-intercept or y-intercept?
eg. (7, 0)
x-intercept
Write a linear function in slope intercept form given the point (3,-8) with a slope of 5.
y = 5x - 23
What is the 17th term of the following sequence:
-1, -4, -7, -10,…
a17 = -1 + (-3)(17-1)
a17 = -49