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Aleksandr-060686 [28]
3 years ago
14

What is the equation of the line in slope intercept form of slope 8 and point (0,-6)

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Answer:

y = 8x - 6

Step-by-step explanation:

Point-slope form is y - y₁ = m(x - x₁) where (x₁, y₁) is a point on the line and m is a slope.

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.

Normally, when you are given a slope and a point on the line and asked to find the equation of the line in slope-intercept form, you would first write a line in point-slope form and simplify it into slope-intercept form (there is an easier way to do it). You would do it like this:

y - (-6) = 8(x - 0)

Simplify

y + 6 = 8x

Subtract 6 from both sides.

y = 8x - 6

You can do this here, but if you look at the point carefully, you can see that the point we are given lies on the y-axis, and is therefore the y-intercept of the line. So we can put it into slope-intercept form with 8 as the slope and -6 as the y-intercept:

y = 8x + (-6)

Simplify

y = 8x - 6

As you can see, both ways of solving this problem yield the same answer, but the second way that I showed is, in mu opinion, easier.

I hope you find my answer helpful.

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A person drove from 8 am Tuesday to 5 pm Wednesday. Total drive 396 miles. He have lunch for 30 minutes on Tuesday and sleep ove
777dan777 [17]

Answer: 18mph

Step-by-step explanation:

Given data

total distance driven = 396 miles

time driven = 8 am Tuesday to 5 pm Wednesday

total time driven in hours = 33 hours

lunch break time = 30 min Tuesday  + 30 min Wednesday

= 60 min

= 1 hour

sleep time = 7 pm Tuesday to  5 am Wednesday

= 10 hours

solution:

To find the average speed,

we are given total time driven = 33hrs.

lunch + rest time = 10hrs + 1hr

= 11hrs

total time travelled =drive time - rest + lunch time

= 33 - 11

= 22hrs

therefore;

average speed = distance / time traveled.

average speed = 396 / 22

average speed = 18 mph

6 0
3 years ago
What is the y intercept of the line? X=24,36,48 and y= -8, 1, 10
goldenfox [79]

Answer:

y intercept = - 40

Step-by-step explanation:

x 24 36 48

y -8 1 10

y = ax + b

a is the gradient (or slope).

b = y intercept.

a = (48-36) / (10-1) = 12/9

Rewrite to solve for b, which means it starts with b = ...

b = y - 12/9 * x

Substitute one point ( 24 , -8 )

b = -8 - (12/9 * 24)

b = y intercept = - 40

4 0
3 years ago
Please select the word from the list that best fits the definition
sp2606 [1]

Answer:

Epics

Step-by-step explanation:

Two dictionary definitions are

1. a long poem, typically one derived from ancient oral tradition, narrating the deeds and adventures of heroic or legendary figures or the history of a nation.

2. a long film, book, or other work portraying heroic deeds and adventures or covering an extended period of time.

7 0
3 years ago
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givi [52]

Answer:

C and D

Step-by-step explanation:

the answers are C and D.

6 0
3 years ago
James has three times as many ties as shirts if he has a total of 64 items how many of each does he have
Ahat [919]

Answer:

16 shirts and 48 ties

Step-by-step explanation:

you start with 64 and divide it by 4 i got four cause it says that James had THREE times as many ties as shirts leaving him with leaving him with 3 groups of ties and 1 group of shirts   .  dividing 64 by 4 leaves you with 16 which is the amount of shirts he has and then you would multiply 16 by 3 to get the amount of ties he has.

5 0
3 years ago
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