A line passes through the point (4,-4) and has a slope of 5/4. Write an equation in slope-intercept form for this line.

y = 5/4x - 9

Step-by-step explanation:

y = mx + b

when you plot 4, -4 you have your first clue and point. then go up 5 and right 4 or down5 and left 4. When you go down you will reach the y intercept. On the number- 9. So -9 is your y intercept which goes in b.

Since 5/4 goes in the mx since it is slope the answer is y = 5/4 - 9

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.