SOLUTION: I am in need of a simplified way of doing equation of a line. The question being find an equation of the line containing the given pair of paints (-5, -2) and (-3, -1). The equatio

Question 317008: I am in need of a simplified way of doing equation of a line. The question being find an equation of the line containing the given pair of paints (-5, -2) and (-3, -1). The equation of the line in slope interecept form is y= ___
Then simplify the naswer. Use integer or fractions for nay numbers in the expression. I know that the formula is y = mx + b but just cannot make it work in my head. Can you 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

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

Rewrite as

Distribute

Multiply

Subtract 2 from 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

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