2-5-43 slope intercept form from two points
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The first thing when doing this problem is to find the slope so
M equal the change of YS -8 - -1 over the change of XS -5 - -9.
Now remember, it doesn't matter which X&Y come first as long
as on top and bottom.
The -8 negative 5 both came from the same point.
The -1 negative 9 both came from the same point.
So -8 - -1 is going to give us -7 and -5 - a negative 9.
Negative 5 + 9 is 4, so our slope is going to be -7 fourths.
Now we're going to use point slope form with either of those
two points.
It doesn't matter which y - -8 is going to equal -7 fourths
times the quantity X - -5.
We're going to combine our like terms and distribute.
So we get y + 8 equaling -7 fourths X.
The minus a negative here is a plus, and we can think of this
five as 5 / 1.
When we multiply 2 fractions, we're going to multiply the
numerators and we're going to multiply the denominators.
So -7 and five is going to give me a -35 four times.
One is going to give me a four.
Our directions up here tell us to use integers or fractions, so
we need to get it in Y equal form.
So I'm going to subtract the 8 next.
So we get Y equal -7 fourths, X -, 35 fourths -8.
Now we need to combine our like terms -35 force and -8 and
neither one have a variable.
So we're going to get a common denominator here.
Once again, we're going to remember that a whole number is
like being over A1.
So we're going to put those both in terms of force y = -7 force X
-, 35 force.
Now, if I want to change 8 / 1 into fours, think about 8 / 1
equals how many over 4.
The easiest way I can tell you to do this is to think about
what did you multiply 1 by to get four, and the answer was
four.
So we're going to multiply 8 by that same number.
So 8 * 4 is going to give us 32.
So 8 / 1 is the same thing as 32 / 4.
And our final step is going to be to combine those terms.
So if I have -35 fourths and I have -32 fourths, that's going
to give me -67 fourths for my final answer.