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Cerrena [4.2K]
2 years ago
3

If two lines, written in standard form, are a1x + b1y = c1 and a2x = b2y = c2, what is the relationship of a1, a2, b1, and b2 if

the lines are parallel?
Mathematics
1 answer:
jasenka [17]2 years ago
8 0
<span>hello : 
</span><span> a1x + b1y = c1 ....(1)
 a2x = b2y = c2,....(2)
</span><span>the lines are parallel when has same slope 
</span>calculate the slope of the line (1) : 
a1x + b1y = c1 
 b1y = c1 - a1x
if : b1 ≠ 0  :   y = (-a1/b1)x +c1/b1
the slope is : -a1/b1
same method the slope of the line (2) is :  -a2/b2
 the relationship of a1, a2, b1, and b2 if the lines are parallel is :
 -a1/b1= -a2/b2
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