Which equation passes through the point (2, 3) and has a slope of -1/3

y = -x/3 + 11/3

Step-by-step explanation:

Finding equation

Given

Slope = -1/3

Point = ( 2 , 3)

using a point slope form equation

y - y1 = m( x - x1)

( 2 , 3)

x1 = 2

y1 = 3

y - 3 = -1/3( x - 2)

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

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

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

LCM = 3

y =( -x + 2 + 9)/3

y = ( -x + 11)/3

Separate to get the slope and the intercept

y = -x/3 + 11/3

The equation of the line is

y = -x/3 + 11/3

answer: 1 and 3

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages