SOLUTION: Find the equation of a line that passes thru (3,7) and (2,-1)

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Question 172946: Find the equation of a line that passes thru (3,7) and (2,-1)
Found 2 solutions by jojo14344, josmiceli:
Answer by jojo14344(1513) (Show Source):
You can put this solution on YOUR website!

(3,7) and (2,-1)
First we get the Slope:
We solve via:

Thru Points (3,7):
Via Point-Slope Form:
---->

So, --->---->, Standard Form
We see the graph:

Thank you,
Jojo

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Two points determine a line, so that's all you need
The general equation for a line is

This looks like a single equation with 4 unknowns, and
that is unsolvable, but the 2 points given will allow
me to write 2 equations with 2 unknowns
given:
(3,7)
(2,-1)
(1)
(2)
Now I solve for and
First, subtract (2) from (1)

Now put this value for back into (1)

The equation of the line that passes trough (3,7) and (2,-1) is

Now check the answer
(3,7)

OK
(2,-1)

OK