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klasskru [66]
2 years ago
10

Write an equation of the line with the given slope and y-intercept,(4,3) and (0,1)

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
5 0

Answer:

y=1/2x+1

Step-by-step explanation:

First use slope formula.

\frac{y2-y1}{x2-x1}

Plug in the information needed.

\frac{1-3}{0-4}=\frac{-2}{-4}=\frac{1}{2}

The slope is \frac{1}{2}.

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information needed.

y-3=1/2(x-4)

y-3=1/2x-2

y=1/2x+1

The equation of the line in slope-intercept form is y=1/2x+1.

Hope this helps!

If not, I am sorry.

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What does it mean when a researcher states that an observed effect or difference is significant with a confidence level of 99%?
icang [17]

Answer:

it affected more than half

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the vertex of g(x) = -3/? + 2<br> (3, -25)<br> (-3,-25)<br> (3,29)<br> (-3, 29)
Orlov [11]

Answer:

(3,-25)

Step-by-step explanation:

6 0
3 years ago
You have some money in your wallet. You don't know the exact amount, but you think you have 60 dollars give or take 15 dollars.
Karolina [17]

Answer:

The least amount is 75 dollars.

The biggest amount is 125 dollars

Step-by-step explanation:

The absolute value function will help us determine a  range of possible values since we do not know the exact amount of money.

Defining the function.

Let x be the exact amount of money in my pocket, we can define the equation

And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation.  So we can write:

We have a difference inside an absolute value, since we know the difference must be either +25 or -25.

Solving for x

Using the definition of absolute value we have

So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is

Solving for x give us

If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition

Solving for x give us

So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.

6 0
2 years ago
Is my answer and graph correct?
PIT_PIT [208]
Yes it is correct. You plotted the slope and initial rate value correctly and found the
point of intersection.



7 0
2 years ago
Which of these is NOT equivalent to -3
Ira Lisetskai [31]
The think the answer is D.

4 0
3 years ago
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