Identify the slope of the following equation.
y = -x + 4
Slope: -1
What two things do you need to find in order to write an equation in y=mx+b form?
Slope/Rate of Change and y-intercept/initial value
The slope of a vertical line will always be ___________________.
Undefined
What is the initial value?
Initial Value: 2
What are the 4 types of slope that we might see on a graph?
Positive, Negative, Zero, and Undefined
Find the slope from graph
Slope= -4/2 which simplifies to -2
Peyton's cell phone company charges $35 a month for phone service plus $0.50 for each text message. Write the equation that represents this situation.
y = 0.5x +35
The slope of a horizontal line will always be ___________________.
Zero
What is the slope of the table below?
Slope: 6/4 which simplifies to 3/2
How do we find the slope in a graph?
Slope Triangle and Rise/Run
Find the slope from graph.
slope= 2/3
A tuxedo rental service charges a $150 flat fee for a suit plus $50 per each additional day. Write the equation that models the situation.
y = 50x + 150
What's another word for rate of change?
Slope
Write the equations for the table below.
y=3x+1
What is the initial value?
Initial Value: 35
Find the slope of the line that includes the following points:
(3, -4) and (-1, 2)
Slope: -6/4 which simplifies to -3/2
A movie app costs $3 to download and charges $10 for every 4 movies that you download? Write an equation in slope-intercept form that models the situation.
y = 2.50x + 3
What is the name of the linear equation format that we've been using for the last few weeks?
Slope-Intercept Form
Write the equation of the graph below.
y=-3x+2
What is the rate of change?
Rate of Change: 7
Find the slope of the line that includes the following points. (9, -12) (-3, -12)
Slope: Zero
My Starbucks account had $100 at the beginning of the month and is decreasing by $12 every 2 days.
a) Write an equation that models the situation.
b) Will I have enough money to buy Starbucks throughout the month?
y=-6x+100
No.
What is the definition of Slope?
What is the definition of y-intercept?
Slope: The steepness of a line.
y-intercept: The point where a line intersects the y-axis.
Write the equation of the graph below.
y=2x+3
What is the initial value?
Initial Value: -3