SOLUTION: write the equation of the line passing through the points (8,-39) and (1,3)

Question 750887: write the equation of the line passing through the points (8,-39) and (1,3)
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

First let's find the slope of the line through the points and

Note: is the first point . So this means that and .
Also, is the second point . So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points and is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Rewrite as

Distribute

Multiply

Subtract 39 from both sides.

Combine like terms.

So the equation that goes through the points and is

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
write the equation of the line passing through the points (8,-39) and (1,3)
------
slope = (3--39)/(1-8) = 42/-7 = -6
---------------------------
Form: y = mx + b
3 = -6*1 + b
b = 9
-----------
Equation:
y = -6x + 9
==============
Cheers,
Stan H.
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