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svlad2 [7]
3 years ago
5

Write the slope-intercept form of the equation of the line that is parallel to and passes through Point X. Show all work for ful

l credit. A= (-10,8) B= (2,3) X= (-5,10)

Mathematics
2 answers:
ycow [4]3 years ago
5 0
Y=1/2x+4 this is the way I was taught let me know if It makes since to you

mojhsa [17]3 years ago
4 0

step 1

<u>Find the slope m between the points AB</u>

we know that

the formula to calculate the slope is equal to

m=\frac{(y2-y1)}{(x2-x1)}

A= (-10,8)\\B= (2,3)

substitute the values

mAB=\frac{(3-8)}{(2+10)}

mAB=\frac{(-5)}{(12)}

step 2

<u>Find the equation of the line that passes through Point X and is parallel to AB</u>

we know that

if two lines are parallel, then their slopes are the same

so

m=-5/12

Point X(-5,10)

the slope-intercept form of the equation of the line is equal to

y=mx+b

substitute the values

10=(-5/12)*(-5)+b

10=(25/12)+b

b=(95/12)

the equation is equal to

y=(-5/12)x+(95/12)

therefore

<u>the answer is</u>

y=(-5/12)x+(95/12)

see the attached figure to better understand the problem



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