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

Answer:

Yes there is a line

y=14x-8

Step-by-step explanation:

use slope formula and incorporate the slope into the coordinates

Answer 2

Answer:

$y = 14x - 8$

Step-by-step 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.

$48 - 6 = 42$

$4 - 1 = 3$

$\frac{42}{3} = 14$

Our slope is 14.

We can plug in any two coordinates to find b.

$14(1) - b = 6$

$- b = - 8$

So our equation is

$y = 14x - 8$