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 relation?

ax+by=c

300

Tell whether the function is linear : y=x+3

Linear

400

Tell whether the set of ordered pairs satisfies a linear function. Explain (2,4), (5,3) (8,2), (11,1)

Yes, constant change in 3 for x. Constant change of -1 in y

500

Tell whether the function is linear 

 y = 2x

Yes it is linear.

Using Intercepts

100

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

y=0

200

Find the y intercept: y=8

(0,8) or8

300

Find the x and y intercepts of 

5y + 10x = 30

x: (3,0)

y:(0,6)

400

Find the x and y intercepts of 2x+3y=6

x-int: (3,0)

y-int: (0,2)

500

Find the x and y intercepts of -6x + 2y = -60

x: (10,0)

y: (0,-30)

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

What is the slope formula?

m=(y₂-y₁)/(x₂-x₁)

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 y-intercept is 2

y=4x+2

400

What are the slope and y-intercept of the equation: 

y= 4x-3

Slope: 4

Y-intercept: -3

500

Write the equation in slope intercept form and graph: slope=0 y-intercept = 2

y=2

Mixed

100

Is y = 3x - 10 linear?

linear

200

What is the slope of the line y=3

zero

300

What is the slope between the points (-3,6) and (1,-3)?

-9/4 or -2.25

400

Is the equation y=-3x² linear or nonlinear?

nonlinear

500

Is (3/x) + y = 4 linear?

Why or why not?

No, x is in denominator of a fraction.