Write the slopes intercept form of the equation of the line through the given points.

1 answer:

8 0

Slope intercept form
y=mx+b
m=slope
b=yintercept

slope for the line passing through the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

given
(2,-2) and (2,-3)
slope=(-3-(-2))/(2-2)=(-1)/0=undefined

y=undefinedx
this means that the equation is x=something
we see
(x,y)
(2,-2)
(2,-3)
x=2 is the equation
we cannot write it in slope intercept form

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First, we need to find the greatest common factor (GCF) of the numerator (43) and the denominator (645). To do so, we list all the factors of each number and find the common ones.

Factors of 43: 1, 43
Factors of 645: 1, 3, 5, 15, 43, 129, 215, 645

Out of the listed factors for each number, which numbers are common between the two? The common factors are 1 and 43. Since we are looking for the GREATEST common factor, which number out of 1 and 43 is the greatest? The GCF is 43.

Second, we can now divide the numerator (43) and the denominator (645) by the GCF we recently found which was 43.

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Third, our new simplified fraction is 1/15. We collected our new numerator and denominator.

Answer in fraction form: $\fbox {1/15}$
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