SOLUTION: I need help finding an equation of a line passing through the points (4,9) and (3,-2) and then writing the equation in the form Ax+By=C. I have tried to understand it but still hav

Question 600678: I need help finding an equation of a line passing through the points (4,9) and (3,-2) and then writing the equation in the form Ax+By=C. I have tried to understand it but still have trouble. Can you please help.
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

Distribute

Multiply

Add 9 to both sides

Combine like terms.

Subtract 11x from both sides

Combine like terms.

Rearrange the terms.

Multiply EVERY term by -1 to make the leading coefficient (the x coefficient) positive.

So the answer is
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