THE STEEPNESS OF A LINE.
SLOPE
THE VARIABLE REPRESENTING SLOPE
WHAT IS m?
Proportional or non-proportional?
AND why???
Non-proportional-- doesn't go through origin & ratios don't match.
WHAT IS SLOPE-INTERCEPT FORM?
y = mx + b
Write the equation:
THE AMUSEMENT PARK CHARGES $20 TO GET IN & $1.50 PER RIDE
y = 1.50x + 20
Vocabulary term:
WHAT IS THE POINT AT WHICH THE LINE CROSSES THE y-axis?
y-intercept
PROPORTIONAL OR NONPROPORTIONAL?
y = 6x
PROPORTIONAL
COMPARING TWO QUANTITIES USING THE EQUATION y = kx
CONSTANT OF PROPORTIONALITY (k)
What is the slope of a straight horizontal line?
slope = zero
Find the slope from the table:
x y
0 3
1 6
2 9
3 12
slope (m)= 3/1 = 3
What is the y-intercept of the equation y = 3x?
b = 0
What is the equation?
BOB HAS $150 IN HIS SAVINGS ACCOUNT & SAVES $40 PER MONTH
y = 150 + 40x
Graph the line: y=x
m=1
b=0
diagonal line going through the origin; left to right.
PROPORTIONAL OR NONPROPORTIONAL?
NONPROPORTIONAL
AN EQUATION WHEN THE GRAPH IS A LINE
LINEAR EQUATION
Draw a negative slope.
Line going from left to right (down)
WHAT IS THE FORMULA USED TO FIND SLOPE FROM A TABLE?
m = change in y / change in x
DETERMINE SLOPE FROM THE EQUATION
y = 2/3x - 8
m = 2/3
BOB HAS $150 IN HIS SAVINGS & SAVES $40 PER MONTH.
How much will he have in his account in three months?
$270
Graph will be a straight horizontal line going through 2. Slope = 0
PROPORTIONAL OR NONPROPORTIONAL?
NONPROPORTIONAL
WHAT IS SLOPE WHERE THE RISE IS 18 AND RUN IS 6
WHAT IS m = 3?
USING THE EQUATION y = 2x + 5;
FIND THE x = -2 AND x = -1
(Hint: You should have TWO answers!)
y = 1 & y = 3
DETERMINE THE SLOPE FROM THE EQUATION
y = -1/2x + 7
m = (-1/2)
Write EQUATION THAT REPRESENTS THE PROPORTIONAL RELATIONSHIP IN THE GRAPH BELOW
y = 3x
b = 0 & m = 6/2
m = 3
GIVEN THE EQUATION y = 4x - 9
Find WHEN x = 2
y = -1
What is slope of x=5?
slope = undefined
A RATE IN WHICH THE SECOND QUANTITY IS COMPARISON TO ONE UNIT
UNIT RATE
SLOPE OF THE GIVEN GRAPH
m = 3?
m = 3/1
m = 3
USING THE EQUATION y = 2x + 5; DETERMINE THE y-intercept and the slope
b = 5 and m = 2
DETERMINE THE SLOPE & y-intercept FROM THE EQUATION
y = -x - 19
m = (-1) & b = (-19)
Write the equation: A MAN IS CLIMBING DOWN A MOUNTAIN OF 100 FEET HIGH DESCENDING 30 FEET PER MINUTE
y = -30x + 100?
b = 100 & m = -30
Find the slope & the y-intercept.
m = 2, b = 4
NONPROPORTIONAL
GIVEN THE EQUATION y = 3/2x
What is the y-intercept?
(0,0)
FINAL JEOPARDY
BEST STRATEGY TO BE READY FOR THE SUMMATIVE ASSESSMENT
STUDY/ REVIEW ALL YOUR NOTES
GET HELP BEFORE THE ASSESSMENT
BRING YOUR NOTES/SUPPLIES