A line that passes through the points (-2,-7) and (1,5)

y= 4x+1

Step-by-step explanation:

Let's start off by figuring out the slope

we do that through the following equation

which means our equation so far looks like this

y=4x+b

we just need to solve for b from here

we can do this by plugging in a coordinate set

-7=4(-2)+b

solve for b

-7= -8+b

b=1

Which means that our equation is

y= 4x+1

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.