(-2,-3) and (8,-8) in point slope form

y+3=-2(x+2)

Step-by-step explanation:

point slope form is

y-(one of your y values)=slope[x-(one of your x values)]

the minus sign turns into a plus sign if the number you are plugging in is negative because a negative times a negative is a positive

1. First find the slope, rise over run

[-8-(-3)] / [8-(-2)] = 10 / -5 = -2

2. now plug in the slope into the point slope form

3. the only thing left is to plug in a value for y and a value for x

choose one of your points, you can either use x= -2 with y= -3

or x= 8 with y= -8

The answer is y+3=-0.5(x+2)

Step-by-step explanation:

Point Slope Form is y-y1=m(x-x1)

Y1 is the first y value and x is the first x value, while m is the slope.

First, we can plug in our y1 and x1 values.

The first x is -2, and the first y is -3, so our equation is now:

y-(-3)=m(x-(-2)a

To finish the equation, all we need to do is find the slope.

We can use the equation y2-y1/x2-x1 to find the slope.

Lets plug in our values.

-8-(-3)/8-(-2)=m, or slope.

Lets solve. Remember that subtracting a negative cancels out, so you add a positive instead.

-8+3=-5

8+2=10

-5/10= -1/2

Now that we know the slope, lets put it in our equation for the finishing touch.

(-2, -3) and (8,-8) in point slope form is y+3=-0.5(x+2).

Hope this helps!

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb