Aline passes through the point (-3, -3) and has a slope of 1/2
what is the equation of the line?
a: y = 1/2x - 3/2
b: y = 1/2x + 3/2
c: y = -1/2x - 3/2
d: y = 1/2x - 1/2

The answer is: A. y = 1/2x - 3/2

Step-by-step explanation:

Given the point (-3, -3) and the slope of 1/2, use the point slope form:

y - y1 = m(x - x1)

y - (-3) = 1/2(x - (-3))

y + 3 = 1/2x + 3/2

y = 1/2x + 3/2 - 3

y = 1/2x + 3/2 - 6/2

y = 1/2x - 3/2

Proof:

f(x) = 1/2x - 3/2

f(-3) = 1/2(-3) - 3/2

= -3/2 - 3/2

= -6/2 = -3, giving the point (-3, -3)

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.

idk

step-by-step explanation: