(4,3)(-3,1) slope intercept

y = 2/7x + 13/7 (slope intercept : y = mx + b)

Given two points (4, 3), and (-3, 1) You can start off with point slope because you are just given points.

Point slope: y - y1 = m(x - x1).

Point 1 : (4, 3) → (x1, y1). Point 2 : (-3, 1) → (x, y).

→ 1 - 3 = m(-3 - 4)

-2 = m ( -7 )

-2 = -7m

2/7 = m

m = 2/7.

Since you have the slope, all you need is one point.

y - 3 = 2/7 ( x - 4 )

y = 2/7 ( x - 4 ) + 3

y = 2/7x - 8/7 + 3

y = 2/7x - 8/7 + 21/7

y = 2/7x + 21/7 - 8/7

y = 2/7x + 13/7

*taydah*

or if you don't like point slope, you can just find the slope between the two points, and then find the y intercept.

m = y2-y1/x2-x1

m = 3-1/4--3

m = 2/7

Then multiply the slope by the x of one of the coordinates, and subtract one of the y values from the coordinates from the slope multiplied by the x of the same coordinate.

let's use (-3, 1)

→ 1 - -3 ( 2/7 )

1 + 3 ( 2/7 )

1 + 6/7

13/7

*Here is the y intercept*.

Then just put this in the form y = mx + b and you are done!

y = mx + b → y = 2/7x + 13/7

im pretty sure it would be 5 am, hope that , and give brainliest and guys if this is right then press the button and give 5 stars

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.