Writing Linear Functions

Write Equations in Slope Intercept Form

100

Write an equation of the line with the given slope and y-intercept.

Slope=-1/2

y-int = 5

y=-1/2x+5

200

Write an equation of the line with the given slope and y-intercept.

Slope= 8

y-int= -7

y=8x-7

300

Write an equation of the line with the given slope and y-intercept.

Slope=1

y-int= 78

y=x+78

400

Write an equation of the line that passes through the given points

(3, 1) (0, -5)

y=2x-5

500

Write an equation of the line that passes through the given points

(5, 6) (-3, -2)

y=x+1

y-5 =(x-6)

y+3 = (x+2)

Write Equations in point slope form

100

Write an equation of the line in point slope form when given the slope and given point

Slope=-3

point ( -2, -4)

y+4=-3(x+2)

200

Write an equation of the line that passes through the given points

Slope = 0

Point ( 0,-6)

y=-6

300

Write an equation of the line that passes through the given points

Slope= 2

point (3, 5)

y-5=2(x-3)

400

Write an equation of the line that passes through the given points

(-2, 1)  (6, -3)

y-1=-1/2(x+2)

or

y+3 = -1/2(x-2)

500

Write an equation of the line that passes through the given points

(-1, 3)  (8, 5)

y-3=2/9(x+1)

or

y-5=2/9(x-8)

Parallel and Perpendicular lines

100

How do you know if 2 lines are parallel?

They have the same parallel

200

How do you know if two lines are perpendicular?

The slope is opposite reciprocals

300

Write an equation of the line that passes through the given point and is parallel to the given line

y= - 1/3x-5

point (3, -5)

y+5= - 1/3(x-3)

400

determine which line are parallel, perpendicular or neither

a. 4y-x=20

b. 4x+y= -2

c. 8y-2x= -24

a and c are parallel

a & c are perpendicular to b

500

Write an equation of the line that passes through the given point and is perpendicular to the given line

3x-4y=92

(-4, 13)

y-12=- 4/3(x+4)

Scatter plots and lines of fit

100

Draw a  strong positive correlation graph

yes!

200

Draw a no correlation graph

yes!

300

Draw a week negative correlation graph

Yes

400

What are the residuals?

The difference between the y-value and the corresponding y-value found using the line of fit.

500

How do you find the line of fit using your calculator

-stat

-edit

-add x to L1

-add y to L2

2nd quit

-stat

-clac

-LinReg 4 

arithmetic sequences

100

How do you determine whether a sequence is arithmetic?

The difference between each number is consistent

either added or subtracted 

Common difference

200

What is the arithmetic sequence formula

a_n= a₁+d(n-1)

300

Write an equation for the nth term of the arithmetic sequence

11, -9,-29, -49, ...

a_n=11-20(n-1)

400

Find the 45th term of the sequence

a_n=4+5(n-1)

a₄₅= 224

500

Use the given information to write the 20th term of the sequence

a₁₀= -50     d=60

a₂₀= 550