Point slope form of (3, -3), (1,-7)

Step-by-step explanation:

-7- -3= -4

1- 3= -2 -4/-2=2

you can use either points

y-y1=m(x-x1)

if the point is negative then the sign changes to a plus

y+7= 2(x-1)

aka y+7 =2x-2

(^that would be -2 because you do 2x-1 bc you have to distribute when you solve )

Y = -2x + 3

Step-by-step Explanation:

Y = mx + b

Slope = -2, so we need to solve for b

Y = -2x + b

Use one of the two points given to solve for b

-3 = -2(3) + b

-3 = -6 + b

3 = b

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

answer: ur v dumb

step-by-step explanation: