Question

Consider the two points (1, 6) and (4, 48).

a. Is there a line that goes through these two points? How do you know? If there is one, what is the equation of the line going through these

Answer 1

`y = 14x - 8`

Explanation:

. Using euclid postulate,

" any two points can be on a line".

So yes a line can be formed

Use the linear equation in ppont-slope form

`y = mx + b`

where m is slope, b is the y intercept.

We can find the slope of the points first.

`48 - 6 = 42`

`4 - 1 = 3`

`(42)/(3) = 14`

Our slope is 14.

We can plug in any two coordinates to find b.

`14(1) - b = 6`

`- b = - 8`

So our equation is

`y = 14x - 8`