Linear Functions

Identifying Linear Functions

5

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

linear function

10

What is the standard form of a linear equation?

Ax+By=C

15

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

20

What are the 3 major linear function equations? Name them.

Slope-Intercept form (y=mx+b)

Standard form (Ax+By=C)

Point-Slope form (y-y₁=m(x-x₁)

25

Tell whether the function is linear and graph the function. 

y=2x+3

Yes it is linear.

(see graph)

Using Intercepts

5

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

x - intercept

10

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

x=4

15

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

x=8 and y=6

20

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

x=4 and y=-6

25

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

x=4 and y=-2

Slope

5

What is the slope of a horizontal line?

Zero

10

What is the slope of a vertical line?

Undefined

15

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

m = -4/5

20

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

m= -25

25

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

m= -6/5

Slope intercept form

5

What is slope intercept form?

y=mx+b

10

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

y=-5

15

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

y=4x-3

20

Graph the equation: y= 5x-2

(see graph)

25

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

y=-3/2x+4 

(see graph)

Point Slope form &Slopes of lines

5

What is the point-slope form?

y-y₁ = m(x - x₁)

10

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

y-2 = -7(x -4)

15

Write the linear equation in point slope form: Slope=5 ; (-3,-7)

y+7 = 5(x +3)

20

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

25

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