Linear Functions (General)

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

Tell whether the function is in Standard Form or Intercept Form: y=x+3

Slope-Intercept Form

400

Change the equation from Standard Form to Slope-Intercept Form: y-3x=5

y=3x+5

500

Change the equation from Standard Form to Slope-Intercept Form: 6x+2y=8

y=-3x+4

Using Intercepts

100

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

What is the x intercept

200

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

x=4

300

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

x=8 and y=6

400

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

x=4 and y=-6

500

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

x=4 and y=-2

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)

What is -4/5

400

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

What is -25

500

Find the slope of the equation: 10x + 5y=30

What is -2

Slope intercept form

100

What is slope intercept form?

y=mx+b

200

Write the equation in slope intercept form: slope=2, y intercept =-5

y=2x-5

300

Write the equation in slope intercept form: slope=1, y intercept =6

y=x+6 OR y=1x+6

400

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

y=5 OR y=0x+5

500

Write the equation of a line that has undefined slope

x=#

x=1 OR x=2 OR x=-9 . . ...

Graph Linear Equations

100

Graph: y=2

A horizontal line at y=2

200

Graph: y=3x-2

Start with y-intercept = -2

rise/run slope 3/1

300

Graph x= -5

Vertical line at x= -5

400

Graph 5x-2y=10

x-intercept at (2,0)

y-intercept at (0,-5)

500

Graph: 3x+5y=20

x-intercept at (20/3, 0) OR (6 2/3, 0)

y-intercept at (0,4)