Input vs Output
What is the formula for slope intercept form?
y=mx+b
Find the slope between given the points (2,6) and (-6,-10)
m = 2
What is the formula for finding slope?
m = (y2-y1)/(x2-x1)
What are the three methods for solving for the intersection point between two lines?
Graphing, Substitution, Elimination
Name all the different out comes for the following
1. (-) x (-) = ?
2. (-) x (+) = ?
3. (+) x (-) = ?
4. (+) x (+) = ?
1. +
2. -
3. -
4. +
What do each of the variables represent in slope intercept form?
y = output
m = slope or rate of change
x = input
b = y-intercept
Find the slope given the points (2,-5) and (17,7).
m = 4/5
What information do you need to find the y-intercept?
The slope and one point
What method for solving for the intersection point has you draw both lines on a coordinate plane?
Graphing
Name all the different out comes for the following
1. (-) / (-) = ?
2. (-) / (+) = ?
3. (+) / (-) = ?
4. (+) / (+) = ?
1. +
2. -
3. -
4. +
Find the output given the input x = 15
y = (1/3)x + 72
y = 75
Find the y-intercept given the point (-8, 56) and the slope m = -4 using y = mx +b.
b = 24
What are the steps for writing a function from two points?
1. Find the slope
2. Find the y-intercept
3. Plug in the slope and y-intercept into slope intercept form
What are the four steps for the substitution method?
Isolate, Substitute, Solve, Plug it in
Simplify the expression.
8 - 3 x 2 + 91
93
Find the input given the output y = 56
y = -5x + 16
x = -8
Find the y-intercept given the point (3,-7) and the slope m = 14 using y = mx +b.
b = -1/6
What is the function for the points (1,-2) and (-3,10) ?
y = -2x + 4
What method has you add or subtract two equations together to make one of the variables cancel out?
Elimination
Simplify the expression.
(-50/2) + 22 - 6
-27
Using the inputs x = 0,1,2,3, find the corresponding outputs and graph the function for
y = 2x - 2
Label your coordinate points (x,y) for your inputs and outputs on your graph
(0, -2), (1,0), (2,2) and (3,4)
Use the points (6,8) and (-3,5) to find the y-intercept.
b = 6
( the function is y = (1/3)x + 6 )
What is the function given the points (-10, 24) and (-20, 34) ?
y = - x +14
Solve for the intersection point between the following equations using one of the three methods.
y = x - 2
-2x + 4y = -16
(-4, -6)
Simplify the expression.
(5 x 6 - 3) + 72 - 5
71