Identifying Linear Functions
Using Intercepts
Slope
Functions
Miscellaneous
100
What is a function whose graph forms a straight line called?
linear function
100

What is a y-intercept?

The point of a function where x = 0;

The point where the function graph crosses the y-axis.

100
What is the slope of a horizontal line?
Zero
100

Name a function family that has a minimum or a maximum point.

absolute value or quadratic

100

Write the linear equation in point slope form: Slope=-7 ; (4,2)

y-2 = -7(x -4)

200
What is the slope-intercept form of a linear function?
y = mx + b
200

Find the y intercept: y = 4x - 2

(0, -2)

200
What is the slope of a vertical line?
Undefined
200

What function family is this:  y = 4x

exponential

200

Write the equation of the line with a slope of 3 and passes through (0 , 4)

y = 3x + 4

or

y - 4 = 3(x - 0)

300
What type of slopes do linear functions have?
The slopes of linear functions are constant. Only linear functions have constant slopes.
300

Find the y intercept of 3x+4y=24

(0, 6)

300
Find the slope of the equation y = -x + 4
m = -1
300

Is this a function? 

{(0,1) , (3, 5), (0, 4) , (5, 9)}

No - 0 maps to two different values. 

300

Write an explicit formula for this sequence: 1, 3, 9, 27, ...

gn = 1*3n-1

400

Does the table below represent a linear function?

 x | y

 2 | 4

 5 | 3

14 | 0


Yes, constant slope of -1/3

400

Find the x intercept of 3x+4y=24

(8, 0)

400

Find the slope of (20, 3000) and (60, 2000)

What is -25

400

Is this a function? 

 x | y

-2 | 4

-1 | 5

 2 | 9

 4 | 5

Yes - every input maps to only 1 output

400

Convert this point-slope equation into slope-intercept form:

y - 4 = 12(x + 2)

Slope intercept: y=12x + 28

500
what two key pieces of information are needed to write the equation of the linear function?
The slope and the y-intercept.
500

Find the y-intercept: 

y - 2 = 4( x - 5) 

(0, -18)

500

What is the slope of this line:  y - 4 = 7(x - 5)

7

500

What is the name of the test to see if a graph is a function or not?

Vertical Line Test

500

Write an explicit formula for this sequence: 2, 8, 14, 20...

an = 2 + 6(n - 1)

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