Functions
Find m & b
Slope from 2 Points
Slope Intercept Form
Intercepts/Standard Form
Point-Slope form
100
Which linear function has the greatest rate of change?
Function A has a rate of change of -1/2 and Function B has a rate of change of 5, so the greatest rate of change is within Function B.
100
State the slope and y-intercept from the equation:
y = 2x - 8
m = 2
b: (0 , -8)
100
(6,5) & (5,4) Slope= ?
Slope = 1
100
Given slope and y-intercept, write the equation.
m = -7
b: (0 , 3)
y = -7x + 3
100
State the x- and y-intercept of the equation.
3x - 4y = 12
***Hint***
You have to make x=0 and then solve for y.
Then make y=0 and solve for x.
x - intercept: ( 4 , 0 )
y - intercept: ( 0 , -3 )
100
Convert y-3=6(x-4) into slope-intercept form.
y=6x-21
200
State the slope and y-intercept from the graph. And write the equation.
m = 1
b: (0 , 0)
y = 1x + 0
or
y =1x
200
(3,1) & (8,4) Slope=?
slope = 3/5
200
Given slope and y-intercept, write the equation.
m = -8
b: -20
y = -8x - 20
200
State the x- and y-intercept of the equation.
5x + 10y = 30
x - intercept: ( 6 , 0 )
y - intercept: (0 , 3)
200
Convert y+4=1/2(x+8) into slope-intercept form.
y = 1/2 x
300
Which set of ordered pairs does not represent a function?
D. { (9, 1), (6, 2), (3, 3), (6, 4), (9, 5) } is not a function because the x value 9 (input) has more than one y value (output).
300
Identify the slope and y-intercept of the equation y=5x+16
Slope= 5 Y-Intercept= (0,16)
300
(6,5) & (-1,5) Slope=?
slope = 0
300
Given slope and y-intercept, write the equation.
m = -25
b: (0 , 100)
y = -25x + 100
300
State the x- and y-intercept of the equation.
2x - 14y = -28
x - intercept: (-14 , 0)
y - intercept: (0 , 2)
300
Write the equation of the line that passes through the point in point-slope form.
(2, -3) m = 2
y + 3 = 2(x - 2)
400
The set of ordered pairs below represents a linear function.
{ (-5, -4), (-3, 0), (-1, 4), (x, y) }
What is one other pair of coordinates that would fit into this function?
A. ( 0, 5 )
B. ( 0, 6 )
C. ( 0, 7 )
D. ( 0, 8 )
B. ( 0, 6 ) because the ∆y = 4 and the ∆x = 2 for a slope of 2/4 and when comparing ( 0, 6 ) and ( - 1, 4 ), the ∆y = 2 and the ∆x = 1 for a slope of 1/2 where 2/4 = 1/2 as a slope/rate of change.
400
State the slope and y-intercept from the graph.
m = undefined
b: none
400
(1,1) & (6,10) Slope=?
slope = 9/5
400
Given slope and y-intercept, write the equation.
m = 0
b: (0 , 0)
y = 0
400
State the x- and y-intercept of the equation.
8x + 4y = 16
x intercept = 2
y intercept = 4
400
Write the equation of the line that passes through the point in slope - intercept form.
(-8, -5) m = -4
y = -4x-37
500
Identify the y-intercept of the equation.
***Hint***
Solve for y, so it looks like y=mx+b.
6y-12=10x
Y-Intercept= (0,2)
500
(-3, 6) & (-3, -15) Slope= ?
Slope = Undefined
500
Given the graph, write the equation.
y = 3x + 2
500
State the x- and y-intercept of the equation.
3x -12y = 36
x intercept = 12
y intercept = -3
500
Write the equation of the line that passes through the points in point-slope form.
(-2, -9) (6, 7)
y-7=2(x-6)
or
y+9=2(x+2)
600
Diane and Rick are each swimming a 150 meter race. What is the difference, in seconds, between Diane's total race time and Rick's total race time?
Diane's Equation: y = 3/2x or y = 1.5x
Diane's Total: 150 = 1.5x where x = 100 seconds
Rick's Equation: y = 5/4x or 1.25x
Rick's Total: 150 = 1.25x where x = 120 seconds
The difference between their total times is 20 seconds.
600
Identify the slope and y-intercept of the equation. y=7
Slope= 0 Y-intercept=7
600
( 2 , 5 ) and ( 3 , 9 ) find the slope.
slope = 4
600
Given that the slope is undefined and goes through the point (3,0) , write the equation.
x=3
600
State the x- and y-intercept of the equation.
4x + 2y = 32
x intercept = 8
y intercept = 16
600
Write the equation of the line that passes through the points in slope - intercept form.
(4, -1) (-4, 3)
y = -1/2x + 1