SOLUTION: Find the standard form of the equation of the line that passes through the points (6,-2) and (14,8). thanks

Question 668989: Find the standard form of the equation of the line that passes through the points (6,-2) and (14,8).
thanks
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

Multiply both sides by 4

Distribute

Subtract 8 from both sides.

Subtract 5x from both sides.

Combine like terms.

Multiply everything by -1 to make the x coefficient positive

So the answer is
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