SOLUTION: Find an equation of the line through the pair of points. Write the equation in the form Ax+By=C (4,0) and (-8,5)

Question 320576: Find an equation of the line through the pair of points. Write the equation in the form Ax+By=C
(4,0) and (-8,5)
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

Simplify

So the equation that goes through the points

and

is

I'll let you convert that equation into standard form.
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