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eduard
2 years ago
10

Can any equation in point-slope form also be written in slope-intercept form?

Mathematics
1 answer:
Gekata [30.6K]2 years ago
3 0

Answer:

Yes

Step-by-step explanation:

The way the equation is written in point-slope form is:

y-y1=m(x-x1)

The way we write an equation in slope-intercept form is:

y=mx+b

We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:

y=mx-(m*x+y1) where (m*x+y1) = b

which is now in slope intercept form.

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WILL MARK AS BRAINLIEST PLEASE HELP!!!
neonofarm [45]

Step-by-step explanation:

2x = y-10

Rewrite as: 2x + 10 = y

Therefore:

2x+10 = y

2x +7 = 2y

Subtract the equations:

 2x + 10 = y

- 2x + 7 = 2y

______________

          3 = -y

Therefore y = -3

Substiture y = -3 into the second equation:

2x + 7 = 2(-3)

2x + 7 = -6

2x = -13

x= -6.5

Answer : (-6.5, -3)

3 0
3 years ago
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The clock was exactly on time at 7am at 1pm the clock was 228 seconds late at that rate how slow was the clock half an hour
yan [13]

Answer:

19 seconds.

Step-by-step explanation:

Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:

1 PM = 13:00

13 - 7 = 6

228/6 = 38

38/2 = 19

Thus, every half hour the clock is delayed 19 seconds.

4 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
Anna71 [15]

Answer:

Step-by-step explanation:

slope=(0-3)/(3-0)=-3/3=-1

y intercept=3

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3 years ago
Sebastian is ordering a taxi from an online taxi service. The taxi charges $3 just for
dybincka [34]

Answer:

10:50

Step-by-step explanation:

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3 years ago
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A zoo collected data on the diving times of turtles. Based on the data, the regression line is j = 0.010 + 2.515x, where x is th
mariarad [96]

Answer:

6.298 meters

Step-by-step explanation:

Here, we are told that x is the time of the dive in minutes.

We simply first need to convert 150 seconds to minutes before substitution into the regression formula;

Kindly recall that 60 seconds = 1 minute

So 150 seconds will be 150/60 = 2.5 minutes

We now proceed to substitute into;

j = 0.010 + 2.515(x)

i = 0.010 + 2.515(2.5)

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j = 6.2975 which go 3 decimal places is 6.298 meters

7 0
3 years ago
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