Cody was given two points (z 8) and
(5,5)
, on a line and asked to create a linear equation in standard
form. Cody's work is shown. Identify any errors and correct them.

Step-by-step explanation:

First error is: = - 3 ÷ = - 18  ( and ≠ )

Thus, slope m = - 18 and linear equation is

y - 5 =  - 18(x - )

y - 5 = - 18x + 12

y = - 18x + 17 slope intercept form

18x + y = 17 Standard form

First error is: = - 3 ( ) =

Second error is: Cody should multiply both sides of equation by 6

Standard form is 18x + y = 17

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.