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3 years ago

Are the following equations parallel y=1/3x+6 and y=1/3x+12 ?

Mathematics

2 answers:

Mademuasel [1]3 years ago

5 0

Answer: yes

Step-by-step explanation:

They run side by side together

melamori03 [73]3 years ago

4 0

As a rule, parallel lines will always have the same slope.

However, they need to also have different y-intercepts.

Since these two lines have the same steepness or slope

and they have different y-intercepts, we say they are parallel.

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3 years ago

Find the 31st term of the following sequence. 9, 15, 21, ...

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3 years ago

Y-3=5(x-2) what are the intercepts t of x and y x=(_,_) y=(_,_)

yan [13]

$The\ x\ intercept\ is\ (\frac{7}{5}, 0)$

The y intercept is (0, -7)

Solution:

Given equation is:

y - 3 = 5(x - 2)

Find the x intercept

Substitute y = 0 in given equation

$0-3=5(x-2)\\\\-3=5x - 10\\\\5x = -3 + 10\\\\5x = 7\\\\x = \frac{7}{5}\\\\Thus\ the\ x\ intercept\ is\ (\frac{7}{5}, 0)$

Find the y intercept:

Substitute x = 0 in given equation

$y - 3 = 5(0-2)\\\\y - 3 = -10\\\\y = -10 + 3\\\\y = -7$

Thus the y intercept is (0, -7)

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3 years ago