Linear Functions

Identifying Linear Functions

100

What is a function whose graph forms a straight line called?

linear function

200

What is the standard form of a linear equation?

Ax+By=C

300

Write y=x+3 in standard form. 

 -x+y=3

400

State whether the relation is function:  {(2,4), (5,3) (8,2), (11,1)}

function

500

Define function

for every input there's exactly ONE output.

Using Intercepts

100

What is the x-coordinate of the point where the graph intersects the x-axis called?

the x-intercept

200

Find the x intercept: 2x- 4y=8

x-intercept = 4

300

Find the x and y intercepts of 3x+4y=24

x-intercept = 8 and y-intercept = 6

400

Find the x and y intercepts of 3x- 2y=12

x-intercept = 4 and y-intercept = -6

500

Find the x and y intercepts of 2x + 4y=8. Then graph it

x-intercept = 4 and y-intercept = 2

(see graph on board)

Slope

100

What is the slope of a horizontal line?

Zero

200

What is the slope of a vertical line?

Undefined

300

Find the slope of (4,-2) and(-1,2)

 -4/5

400

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

 -25

500

Find the slope of the equation: 6x + 5y=30

-6/5

Slope intercept form

100

What is slope intercept form?

y=mx+b

200

Write the equation in slope intercept form: slope=0, y intercept =-5

y=-5

300

Write the equation in slope intercept form: slope=4 and (2,5) is on the line

y=4x-3

400

Graph the equation: y= 4x-3

See graph

500

Write the equation in slope intercept form 3x+2y=8

y = -3/2x + 4

Standard Form

100

What is standard form?

Ax + By = C

200

Write the line in standard form: y = x + 2

- x + y = 2

300

Write the equation in standard form: y = 1/2x + 8

-x + 2y = 16

400

What are the x and y-intercepts of the equation: 

3x + 4y = 8

x-intercept = 8/3

y-intercept = 2

500

What are the intercepts of the equation y = x

x-intercept = 0

y-intercept = 0