Calculate the Slope between the two points:
(-2, 12) and (1, 3)
-3
Identify the coordinates of the X-Intercept below:
(6, 0)
Sketch a graph of this linear function:
y=-2x+3
Sally paints portraits of people for a living. The graph below shows how much she charges based on how long it takes her to paint the portrait. What does the y-intercept represent?
The definition of a linear function is one whose graph is a ____ (this.)
straight line (or line.)
Find the Slope from the Graph:
1/2
Identify the coordinates of the Y-Intercept below:
(0, -4)
Sketch a graph of this linear function:
y=1/2x+2
Sally paints portraits of people for a living. The graph below shows how much she charges based on how long it takes her to paint the portrait. What does the slope represent?
How much Sally charges to paint a portrait per hour.
Which of the following coefficents or variables represents the "Slope" in Slope-Intercept Form:
y=mx+b
m
Find the Slope from the Table:
4
Zero.
Sketch a graph of this linear function:
y=-2/3x+3
A hot air balloon descends from an initial height down to the ground. The equation below shows the relationship between the height of the balloon, h, in feet after t minutes.
h=500-5t
What does the number "500" represent?
500 represents the initial height (500 feet.)
Identify the coordinates of the x and y intercepts below:
x-intercept (-2,0)
y-intercept (0, 4)
Identify the Slope from the Following Equation:
y=-2/3x+11
-2/3
The y coordinate of the x-intercept will always be this number.
Zero.
Write an equation in Slope-Intercept form that matches the graph below:
y=-2x+5
A hot air balloon descends from an initial height down to the ground. The equation below shows the relationship between the height of the balloon, h, in feet after t minutes.
h=500-5t
How fast does the balloon descend toward the ground?
It descends at a rate of 5 feet per minute.
According to the graph below, how much does it cost to enter the theme park (before you purchase any tickets to ride the rides?)
$20
Rate of Change
To graph a linear function in Slope-Intercept Form, I will start by plotting a point at this key feature, then use my slope to plot one or more additional points.
Write an equation in Slope-Intercept Form that matches the graph below:
y=x+5
Mary-Anne is saving money to buy a new phone. The table below shows how much money she saves (y) each week (x.)
Use the table to determine how much money Mary-Anne had before she started saving for the phone.
She started with $25, then saved an additional $20 per week.
According to the graph below, how much do tickets cost to ride the rides (after you've paid to enter?)
Each ticket costs $2.