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3 years ago

10

Find the equation of the line that passes through ( 4 , 1 ) and is parallel to the line passing through ( 7 , 11 ) and ( 10 , 20

) .

1 answer:

wlad13 [49]3 years ago

5 0

Answer:

$y-1=3(x-4)$ -----> equation into point slope form

$y=3x-11$ -----> equation into slope intercept form

$3x-y=11$ -----> equation in standard form

Step-by-step explanation:

we know that

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

step 1

Find the slope of the line passing through ( 7 , 11 ) and ( 10 , 20 )

The slope m is equal to

$m=(20-11)/(10-7)=3$

step 2

Find the equation of the line with m=3 that passes through (4,1)

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-1=3(x-4)$ -----> equation into point slope form

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y=3x-12+1$

$y=3x-11$ -----> equation into slope intercept form

Convert to standard form

$Ax+By=C$

$3x-y=11$ -----> equation in standard form

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Suppose that Y takes on the values {0, 1, 2, 3}, each with probability 1/4. Take a random sample of 5 numbers from this distribu

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Natalija [7]

We are given

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we can see that

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option-B:

we can plug (-1,-2)

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option-C:

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Read 2 more answers

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Zielflug [23.3K]

Answer:0 = 3x - 21

Step-by-step explanation:

From this given function we can take an

x

common from its expression

i.e

x

2

−

6

x

=

x

(

x

−

6

)

As we know that the product of two numbers is zero,when either one of them is zero

then in the above expression that we just factorised

the function can be zero when either

x

=

0

or when

x

=

6

i.e when

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=

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,

0

(

0

−

6

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=

0

when

x

=

6

,

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(

6

−

6

)

=

6

(

0

)

Finally, our prize of all that math, the zeroes of the function are

0

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