SOLUTION: passes through points (-2,-3) and (3,3)

Question 293190: passes through points (-2,-3) and (3,3)

Found 2 solutions by richwmiller, jim_thompson5910:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Is this a guessing game?
Should we guess what passes through those points?
a circle? a line ? a parabola? a square?
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 3 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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