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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

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Answer:


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

User Ryan Newman
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