Last algebra question if i get it correct

(3, 0)

Step-by-step explanation:

Step 1: Find slope

m = (-48 + 64)/(-15 + 21)

m = 8/3

y = 8/3x + b

Step 2: Find b

-32 = 8/3(-9) + b

-32 = -24 + b

b = -8

Step 3: Write linear equation

y = 8/3x - 8

Step 4: Find x-intercept

0 = 8/3x - 8

8 = 8/3x

x = 3

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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.