Can you explain to me how you solve for Invariant Points on a graph?

Points for x where Eq. 1 = Eq. 2 can be found by equating the two functions and then solving for x.

For Eq. 1, do you mean Y = | (1/4)x | ?

| (1/4)x | = | -x - 3 |

(1/4) | x | = (-x - 3) or -(-x - 3)

x = (-4x - 12) or (4x + 12)

5x = -12 or -3x = 12

x = -12/5 or x = -4

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.