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Hunter-Best [27]
2 years ago
13

Select the correct answer. Which equation represents this line in point-slope form? A. `(y + 4) = (4)/(3) (x + 3)` B. `(y −4) =

-(4)/(3) (x +3)` C. `y= -(3)/(4)x` D. `4y− 3x = 0`

Mathematics
1 answer:
Readme [11.4K]2 years ago
4 0

Answer:

The correct option is `(y −4) = -(4)/(3) (x +3) ..

Step-by-step explanation:

Look at the attached picture:

The points we have given are (-3, 4) and (3, -4)

Find the slope by applying the formula:

m = y2-y1/x2-x1

Here x1= -3

x2= 3

y1 = 4

y2 = -4

Now put the values in the formula:

m = -4 -4 /3 -(-3)

m = -8/3+3

m = -8/6

Now cancel the term by table of 2

m = -4/3

When two points are given, the equation of the line is

(y - y1) = m (x - x1)

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

y-4 =  -4/3 (x+3)

Thus the correct option is `(y −4) = -(4)/(3) (x +3) ....

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amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =

Applying double C we have:

\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =

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Canceling common terms:

\frac {mn ^ 5} {p ^ 4}

Answer:

Option A

Question 2:

We should simplify the following expression:

\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}

So, we have:

\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =

Simplifying common terms:

\frac {1} {y ^ 2z ^ 2}

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

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(r + 5) (r + 2)

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Rewriting the given expression we have:

\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =

We simplify common terms in the numerator and denominator we have:

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Answer:

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4 0
3 years ago
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4 0
2 years ago
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ohaa [14]

Answer:

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Step-by-step explanation:

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7 0
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