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Assume that the line passes through the point (−2,4) and is parallel to the line through the points ( −4,4) and (−5,−1).find the equation of this line in slope intercept form.
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Jul 7, 2019
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Assume that the line passes through the point (−2,4) and is parallel to the line through the points ( −4,4) and (−5,−1).find the equation of this line in slope intercept form.
Mathematics
high-school
Mqueirozcorreia
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Mqueirozcorreia
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let m be the slope and b the y-intercept.
m=(y₂-y₁)/(x₂-x₁)
m= (-1-4)/(-5-(-4))
m= 6
y=mx+b
4=6(-4)+b
b=28
y=6x+28
(-2,4)
parallel means the slopes are the same:
4=6(-2)+b
4=-12+b
b=16
y=6x+16
Jan Groth
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Jul 13, 2019
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Jan Groth
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