Creating Linear Equations

from 2 points

100

A line that passes through the points (-1,3) and (4,-2)

y= -x +2

200

A line that passes through the points (3,4) and (5,8)

y= 2x -2

300

A line that passes through the points (-3,1) and (5,5)

y= 1/2x -5/2

a point and slope

100

slope = 3, y-intercept = 2

y = 3x + 2

200

(0, -4) , slope = -3

y= -3x -4

300

the slope is 2 and passes through the point (3,-4)

y = 2x -10

from a table

100

0   24

1   21

2   18

3   15

y= -3x +24

200

-2   -2

-1   -8

0   -14

1   -20

y = -6x -14

300

-1   -2

0    3

1    8

2   13

y = 5x +3

from a graph

100

graph (a) 

y = -2x + 2

200

graph (b)

y = -4/5x + 4

300

graph (c)

y = 3x +2

word problems

100

The value of a car decreases at a constant rate. After 3 years, the value of the car is $15,000. After 2 more years, the value of the car is $11,000. 

y = 4000x +3000

200

Jeff is keeping track of his weight over several weeks. After 2 weeks, he weighs 194 pounds. After 6 weeks, he weighs 186 pounds. Write a linear equation.

y= -2x +198

300

Customers of a satellite dish company must pay for installation of the dish, and a monthly fee for service. After 6 months, Ryan had paid $594. After 11 months, he had paid $989. Write a linear equation.

y= 79x +120