SOLUTION: Find an equation for this line (-4,1) and (7,-5)

Question 177158: Find an equation for this line (-4,1) and (7,-5)
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

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

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

Add 1 to both sides.

Combine like terms. note: If you need help with fractions, check out this solver.

So the equation that goes through the points and is

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find an equation for this line (-4,1) and (7,-5)
-------------------------------------------------
slope = (-5-1)/(7--4) = -6/11
intercept: 1 = (-6/11)(-4) + b
b = 1 -(24/11)
b = -13/11
-------
y = (-6/11)x - (13/11)
======================
Cheers,
Stan H.

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