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olya-2409 [2.1K]
3 years ago
15

i need help!!! write an equation in point-slope form of the line through point j(4, –4) with slope 4. a. y 4=4(x 4) b. y 4=4(x-4

) c. y-4=4(x 4) d. y 4=4(x-4)
Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
7 0
Required equation is y - y1 = m(x - x1); where m = 4 and (x1, y1) = (4, -4)
y - (-4) = 4(x - 4)
y + 4 = 4(x - 4)
marta [7]3 years ago
4 0

Answer:

The equation of line passing through (4,-4) and having slope '4' is: y+4=4(x-4)

Step-by-step explanation:

The equation of a line passing through a point (x_{1},y_{1}) and having slope 'm' is given by:

y-y_{1} =m(x-x_{1})

Here we are given that the line passes through the point (4,-4) and having slope 4.

⇒   (x_{1},y_{1})=(4,-4)  and m=4

Hence, the equation of line is:

y+4=4(x-4)

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uysha [10]

Answer:

Add 1 to both sides.

Multiply both sides by -2.

Add 8 to both sides.

Divide both sides by 5.

Step-by-step explanation:

<u>Step 1</u>

-\dfrac{1}{2}(5x-8)-1=6\quad \quad \textsf{Write the equation.}

<u>Step 2</u>

-\dfrac{1}{2}(5x-8)=7 \quad \quad \textsf{Add 1 to both sides.}

This is called the <u>Addition Property of Equality</u>.  When the same number is added to both sides of an equation, the two sides remain equal.

\implies -\dfrac{1}{2}(5x-8)-1+1=6+1

\implies -\dfrac{1}{2}(5x-8)=7

<u>Step 3</u>

5x-8=-14 \quad \quad \textsf{Multiply both sides by -2.}

This is called the <u>Multiplication Property of Equality</u>.  When both sides of an equation are multiplied by the same number, the two sides remain equal.

\implies -2 \cdot -\dfrac{1}{2}(5x-8)=-2 \cdot 7

\implies 5x-8=-14

<u>Step 4</u>

5x=-6 \quad \quad \textsf{Add 8 to both sides.}

This is called the <u>Addition Property of Equality</u>.  When the same number is added to both sides of an equation, the two sides remain equal.

\implies 5x-8+8=-14+8

\implies 5x=-6

<u>Step 5</u>

x=-\dfrac{6}{5} \quad \quad \textsf{Divide both sides by 5.}

This is called the <u>Division Property of Equality</u>.  When both sides of an equation are divided by the same number, the two sides remain equal.

\implies \dfrac{5x}{5}=\dfrac{-6}{5}

\implies x=\dfrac{-6}{5}

<u>Conclusion</u>

<u></u>

<u />\begin{aligned}-\dfrac{1}{2}(5x-8)-1 & =6 & \quad \quad& \textsf{Write the equation.}\\\\-\dfrac{1}{2}(5x-8) & =7 & & \boxed{\textsf{Add 1 to both sides.}}\\\\5x-8 & =-14 & & \boxed{\textsf{Multiply both sides by -2.}}\\\\5x & =-6 & & \boxed{\textsf{Add 8 to both sides.}}\\\\x & =-\dfrac{6}{5} & & \boxed{\textsf{Divide both sides by 5.}}\\\end{aligned}

Learn more about Property Laws here:

brainly.com/question/28255621

brainly.com/question/28210762

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1 year ago
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Answer:

Its 8/33. Hope this helps.

Step-by-step explanation:

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Answer:

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Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}

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The amount <u>$20.00</u> is the overdraft fee.

Step-by-step explanation:

Given:

Katie's bank statement shows a closing balance = $178.11.

Her checkbook shows a balance = $198.11.

Now, to get what might account for the different balances?

Closing balance of Katie's bank statement = $178.11

Balance of her checkbook shows = $198.11.

As, there are no outstanding checks or deposits.

So, to get the difference of amount:

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Thus, $20.00 is the overdraft amount.

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