Hi Mikk;
(1,4) and (7,5)
Let's first establish the slope. This is the changeofy divided by the changeofx...
(yy_{1})/(xx_{1})
(45)/(17)
Subtracting a negative number is the same as adding a positive number...
(4+5)/(1+7)
9/6=3/2
This is the slope.
Standard equation is...
Ax+By=C, neither A nor B equal zero, and A is greater than zero.
slope=A/B
slope=3/2. The two must be negative because A must be greater than zero.
3x2y=C
Let's plugin one coordinate to establish C...
(1,4) and (7,5). I randomly select the first...
[(3)(1)][(2)(4)]=C
38=C
11=C
Let's plugin the other coordinate to verify C as 11...
3x2y=C
[(3)(7)][(2)(5)]=C
21(10)=C
21+10=C
11=C
3x2y=11
1/12/2014

Vivian L.
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