Vocabulary
Linear Equations
Understanding Slope
Model with Math
Intercepts
100
The RATIO comparing the change in output over the change in input.
SLOPE
100
Write the equation of the line.
y=2x+4
100
What is the slope of the line.
y=4-3x
slope=-3
100
Find the PRACTICAL range of the function.
0<=gallons<=15
100
What is the y-intercept of the line.
y=8-6x
y-intercept (0,8)
200
The output when the input is zero.
Y-INTERCEPT
200
Convert to Slope-Intercept form.
4y-3x+24=0
y=3/4x+6
200
Find the slope of the line.
m=-7
200
Find the slope in the following graph.
For every 200 miles you drive, a car uses 8 gallons of gas (or...for every 1 mile you drive, a car uses 0.04 gallons of gas).
200
Identify the x and y-intercepts.
x-intercept (6,0)
y-intercept (0,4)
300
The name of the symbol for "change" in math and science.
Delta ∆
300
Write the Slope-Intercept form equation of a line through the points (-4, 2) and (8, 8).
y=1/2x+4
300
Explain (in words) what this slope is communicating
-4/5
Every time you move 5 right on the graph, you go down 4.
Every time you move 5 left on the graph, you go 4 up.
300
The height of a plant (in meters) based on the amount of rainfall it receives (in cm) can be modeled by the linear equation
y=0.005x+1.5
Explain what the slope is communicating in the context of the problem.
For every centimeter of rain the plan receives, the plant grows 0.005 meters (or 0.5 cm).
300
Find the x and y-intercepts.
y=6-2/3x
x-intercept (9,0)
y-intercept (0,6)
400
The slope of a vertical line.
UNDEFINED
400
Find the equation of the line.
y=-7/4x-5/4
400
The graph of a line passes through (-1,5) and has a slope of 3/4. Find any other ordered pair on the line.
(infinite answers)
... (-13,-4) (-9,-1) (-5,2) (3,8) (7,11) (11,14) ...
400
The relationship between degrees Fahrenheit and degrees Celsius can be represented by a linear equation. Water boils at 100°C=212°F and freezes at 0°C=32°F. How many degrees Fahrenheit is 37°C?
98.6°F
400
Find the x and y-intercepts.
x-intercept (-6,0)
y-intercept (0,4)