2-5-29 still another example
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This equation is using your point slope formula.
This is a formula you have to know.
It's developed from the formula of the slope.
If you remember, the slope was just the change of YS over the
change of XS.
And then if we cross multiply to get rid of the denominator,
that's our point slope formula.
So we get Y minus our known Y from the point -7 equal the
slope times X minus our known X.
Now when the equation asked for the line in Y equal form, it
means we actually need to solve for Y.
So the first thing we're going to do is we're going to
distribute out the 3/4 and we get 3/4 X, and we need to have
that -3 also times 3/4.
Now remember that -3 is really understood to be over A1.
So when I multiply fractions, I multiply the numerators and I
multiply the denominators.
So at this step we have y + 7 equaling 3 fourths, X -, 9
fourths.
My goal is to get Y by itself, so I'm now going to have to
subtract the seven from each side.
If I subtract the seven, now I have to combine that 9 fourths
and the -7 think about that 7 as being over.
1A common denominator is going to be 4 because of the 9
fourths.
We need to think about what did we have to do to the one to get
4.
We multiplied by four.
If we do the bottom by 4, we've got to do the top by 4.
So 7 / 1 is really the same thing as 28 / 4.
So if I have Y equal 3 fourths, X -, 9 fourths -28 fourths, then
we just combine our like terms for our final answer.
So -9 fourths and -28 fourths we combine our numerators leaving
the denominator alone.
We get -37 fourths.