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

Tell whether the function is linear and turn it into standard form of linear equation: y=x+3

Yes can be written as -x+y=3

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 and graph the function. -5x = y - 7x + 4

Yes it is linear. Graph has intercepts (0,-4) and (2,0)

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 

Graph contains (4,0) and (0,-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)

-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

Graph contains (0,-3) and has a positive slope of 4 to 1.

500

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

y=-3/2x+4

Graph contains (0,4) and has a negative slope of 3 to 2.

Point Slope form &Slopes of lines

100

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

y-2 = -7(x -4)

200

What lines have the same slope?

parallel

300

How do you know when you have perpendicular slopes?

When the product of the slopes equal -1

(They are opposite reciprocals of each other)

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