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=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: 6x + 5y=30

What is 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=-3/2+4

Point Slope form

100

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

y-2 = -7(x -4)

200

Write the equation in point-slope form from the given points: (0,2) and (1,3)

y - 3 = 1(x - 1)

300

Write the equation in point-slope form. m = 5 and 

(1, -9)

y + 9 = 5(x - 1)

400

Write this equation in point slope form & in slope intercept form: slope=-4, (-1,-2)

Point slope form: y+2= -4(x+1)

Slope intercept: y=-4x -6

500

Write the equation in point slope form and in slope intercept form: (1,-4) and (3,2)

Point slope: y-2=3 (x-3)

slope intercept: y=3x -7