What is an equation of the line that passes through the point (5,-8) and is perpendicular to the line 5x – 4y = 16?

Step-by-step explanation:

-4y = -5x + 16

4y = 5x - 16

y = 5/4x - 4

perp. -4/5

y + 8  = -4/5(x - 5)

y + 8 = -4/5x + 5

y = -4/5x - 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.

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105