Slope-Intercept Form
What is slope intercept form for all linear equations?
y=mx+b
What is another way to say rate of change?
Slope
In the equation y=mx+b, what does the letter b represent?
y-intercept
A taxi company charges $3.00 per mile plus a $2.50 flat fee. What is the initial value?
$2.50 (flat fee)
A car purchased for $15,000 depreciates 10% every year after purchase. What is the value of the car after 1 year?
$13,500
Write the equation in slope intercept form: slope=4 and (2,5) is on the line
y=4x-3
What is the slope of a horizontal line?
zero
The y= intercept or initial value is the value of y when x = _____
zero
A cell phone plan costs $20 per month plus $0.10 per text. Write an equation to represent the total cost of this linear function
y=0.10x+20
A car purchased for $80,000 depreciates 15% every year after purchase. What is the value of the car after 1 year?
$68,000
Write the linear equation in slope intercept form: Slope=-7 ; (4,2)
y=-7x+30
Find the slope of (4,-2) and(-1,2)
m=-4/5
The y-intercept is the point where the line crosses the____ axis . At this point, the ___ coordinate is always zero.
(y, x)
crosses the y-axis, therefore the X coordinate is always zero
If a bathtub fills at a rate of 5 gallons per minute and already contains 10 gallons of water, which statement correctly describes the rate of change?
A) The initial amount of water is 5 gallons
B) The rate of change is 10 gallons per minute
C) The rate of change is 5 gallons per minute
D) The total water after 3 minutes is 10 gallons
C) The rate of change is 5 gallons per minute
What is the slope of a vertical line?
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Write this equation in slope intercept form: slope=-4, (-1,-2)
y=-4x-6
Find the slope of (20,3000) and (60,2000)
m=-25
What is the y-intercept of the equation y=3x−5?
-5
A gym membership costs $25 per month plus a one-time initiation fee of $50. What does the rate of change represent in this scenario?
A) The $50 initiation fee
B) The $25 monthly fee
C) The total cost after 6 months
D) The number of months in the membership
B) The $25 monthly fee
What is Mr. Rodriguez favorite football and soccer teams?
Steelers and Real Madrid
Write the equation in slope intercept form: (1,-4) and (3,2)
y=3x-7
Find the slope of the equation: 6x + 5y=30
m=6/5
Determine the y-intercept from this table
x 9 12 15 18
y 30 45 60 75
-15
A runner starts a race at a pace of 6 miles per hour. After 2 hours, she has run 12 miles. What is the initial distance she started at? (Assume the relationship is linear.)
Initial distance = 0 miles (she started at the starting line)
Beat Mr. Rodriguez in Rock, Paper, Scissors in one game win 500 points
XD