Write the equation of line that passes through (-1,3) and (-5,-3)

Step-by-step explanation:

y=mx+c

where m is the gradient and c is the y-intercept of the line

Let's find the gradient of the line first.

Using the above formula,

Subst. the gradient into m:

Now, find the value of c by substituting a coordinate into the above equation.

when x=-1, y=3,

Therefore the equation of the line is

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question

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.