Vocabulary
What is a linear function
A function that represents a straight line on a coordinate plane
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 a slope?
Constant 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 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
What is a system of linear equations?
Two or more linear equations
A zero slope is what kind of line?
Horizontal line
Find the slope between each pair of points
1. (-1, 9) and (2, 3)
2. (4, 6) and (4, 8)
1. -6 / 3 = -2
2. Undefined
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
When graphing a linear equation, what is your first point?
What is your second point?
1) b - y-intercept
2) m - slope rise/run
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
2) -6x + 4y = 20
1) y = 1/3 x - 4
2) y = 3/2x + 5
1) What does equivalent mean?
2) How do you know if two equations are equivalent?
1) They are the same
2) They have the same set of solutions.
-- you can move the equation around, and the get the other equations
What is standard form?
Ax + By = C
What is an example of a linear function used in real life?
Example Answers:
figuring out income
overtime
calculation of mileage
if y = 0, is that your x-intercept or y-intercept?
eg. (7, 0)
x-intercept
Find the missing value using the given slope
(-3, -2) and (x, 6); m = 2
x = 3