Find the equation of the line through the points (-3-3) and (5,4) give your answer in slope intercept form.

Hello : let  A(-3,-3)    B(5,4)
the slope is :   (YB - YA)/(XB -XA)
(4+3)/(5+3)  =7/8
an equation is : y=ax+b     a is a slope

y = (7/8)x +b

the line through point  (5,4) :  4 = (7/8)(5)+b
b = - 3/8
the equation is : y =(7/8)x- 3/8

There are 20 beads on the necklace.

Step-by-step explanation:

Given:

A beaded necklace is 2.5 feet long. Each bead is .25 inches wide & each pair of beads is separated by 1.25 inches of chain.

Now, to find the number of beads on the necklace.

The length of necklace = 2.5 feet.

So, we convert feet into inches by using conversion factor:

1 foot = 12 inches.

2.5 feet = 12 × 2.5 inches.

2.5 feet = 30 inches.

Thus, the length of necklace is 30 inches.

Let the number of beads be

The width of each bead = 0.25 inches.

The each pair of beads is separated by 1.25 inches.

Now, we put an equation to get the number of beads:

Dividing both sides by 1.50 we get:

The number of beads = 20.

Therefore, there are 20 beads on the necklace.