1- which is an equation in point-slope form for the line that passes through the points (−1,4) and (3,−4) ?

y−3=−2(x+4)

y−4=2(x+3)

y+4=−2(x−3)

y+4=2(x−3)
2- which equation is a point slope form equation for line ab ?

y+6=−2(x−1)

y+1=−2(x−6)

y+5=−2(x−2)

y+2=−2(x−5)

The first one is y + 4 = -2(x-3)

Step-by-step explanation:

Sorry its a bit lengthy, but I found this by putting the coordinates into the point slope formula, (y1-y2)/x1-x2)

y1 = 4

y2 = -4

x1 = -1

x2 = 3

I plugged in the numbers and set up my problem to look like this:

(4) - (-4)

(-1) - (3)

I simplified it to -8/4, to -2/1. -2/1 is the slope that goes through the coordinates.

Next, I solved the option equations to see which one matched my slope, which left me with two options that matched:

y-3=-2(x+4)

and

y+4=-2(x-3)

I simplified then into their slope forms and got:

y=-2x-5

and

y=-2x+2

So, now I had to find the y-intercept. For this, I just substituted x for 0, since our y-intercept occurs where there is no x-intercept.

y=-2(0)-5

Then solve for y.

y=-2(0)-5

y=0-5

y=-5

So, our answer is y-3=2(x+4)

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6