Without any equipment, you can see stars that are 2{,}800{,}0002,800,0002, comma, 800, comma, 000 light-years away. By looking through a small telescope, you can see stars that are 3{,}112{,}000{,}0003,112,000,0003, comma, 112, comma, 000, comma, 000 light-years away. Approximately how many times as far can you see using a small telescope as without any equipment?

1111 times

Step-by-step explanation:

Without any equipment, you can see stars that are 2,800,000 light-years away.

Using a small telescope, you can see  stars that are 3,112,000,000 light years away.

To determine approximately how many times as far you can see using a small telescope as without any equipment, we divide the number of light years.

That is:

Therefore, you can see approximately 1111 times as far using a small telescope as without any equipment.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is