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3 years ago

What is the equation of the line that passes through the point (-4, -8) and haves a slope of 4

Mathematics

1 answer:

irinina [24]3 years ago

5 0

Answer:

y=4x+8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-8)=4(x-(-4))

y+8=4(x+4)

y=4x+16-8

y=4x+8

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The graph relates the distance traveled by Train A, in miles, and the time taken, in hours. The table shows the distance travele

melomori [17]

Answer:A)

Yes, the relationship is proportional.

66,000 miles.

Step-by-step explanation:

Yes, the graph represents a proportional relationship.

Since, A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:

y=kx

for some constant k , called the constant of proportionality .

As y=12000x hence the relationship is proportional.

We calculate the equation of the graph with the help of two points on the graph namely (2,24000) and (4,48000) with the help of slope-intercept form of the line.

y=mx+c where m denotes the slope of the line and c denotes the y-intercept of the line.

Here when x=2 y=24000 and when x=4 y=48000

Hence, 24000=2x+c

and 48000=4x+c

on subtracting the above two equations we have:

m=12000 and c=0

Hence, the equation of line is y=12000x

Now the value at x=5.5 is:

y=12000×5.5=66,000

Hence, the number of miles the probe travels in 5.5. hours is 66,000 miles.

Step-by-step explanation:

4 0

2 years ago

Pls helppppp with my math

kow [346]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

6 0

3 years ago

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Write an algebraic expression for the given statement Add 9z to the product of 3x and 7y

mixas84 [53]

Answer:

3x × 7y + 9z

Step-by-step explanation:

No explanation

Merry Christmas

3 0

3 years ago

Sorry about the bad quality :(

dmitriy555 [2]

Answer:

Yes, y varies directly with x, and the equation is $y=1.6x$ .

Step-by-step explanation:

To check where there is a direct relationship between x and y, we need to check whether all the x,y pairs we have fit some rule:

$y=k\times x$ .

For the first pair (x=4, y=6.4),

$6.4=k\times 4$

Therefore $k = 1.6$ .

For the second pair (x=7, y=11.2),

$11.2=k\times 7$

Therefore $k = 1.6$ .

For the third pair (x=10, y=16),

$16=k\times 10$

Therefore $k = 1.6$ .

For the second pair (x=13, y=20.8),

$20.8=k\times 13$

Therefore $k = 1.6$ .

So x does directly vary with y, and we have found out that $k=1.6$ .

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3 years ago

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PLEASR HELP ASAP!!!!!!! i’ll mark brainlest

Molodets [167]

This should help ^-^

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2 years ago

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