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svetlana [45]
3 years ago
5

The given line passes through the points and (4, 1).

Mathematics
2 answers:
pashok25 [27]3 years ago
5 0

Answer:

y-3=-2(x+4)

Step-by-step explanation:

<u><em>The complete question is</em></u>

The given line passes through the points (−4, −3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, 3)?

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

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

we have

(−4, −3) and (4, 1)

substitute the values

m=\frac{1+3}{4+4}

m=\frac{4}{8}

m=\frac{1}{2}

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

so

m_1*m_2=-1

we have

m_1=\frac{1}{2} ---> slope of the given line

so

m_2=-2 ---> slope of the perpendicular line to the given line

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=-2

point\ (-4,3)

substitute

y-3=-2(x+4) ----> equation in point slope form

trasher [3.6K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

did the edge quiz

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The sum of two numbers is -14 one number is 20 less than the other find the numbers
Lisa [10]

Answer:

x=-17,y=3

Step-by-step explanation:

x+y=-14

x=x

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3 0
3 years ago
9(5x + 1) ÷ 3y
Ivan

Some definitions:

Sum - the result of adding values together

Term - a single number or variable (includes variables multiplied by numbers)

Factor - a number or variable that divides another number or expression evenly

Quotient - the result of dividing values by one another

Coefficient - a numerical or constant value often in front of a variable

In your equation:

Sum - (5x + 1)

5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.

Term - (5x, 1, 3y)

All terms given above are applicable.

Factor - (9)

9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression

Quotient - (9(5x + 1) / 3y)

The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.

Coefficient - (5, 3)

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Hope this helps!! :)

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Answer:

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Step-by-step explanation:

6 - 2/9x = 8

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5 0
3 years ago
Read 2 more answers
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baherus [9]

Answer:

113x+2

Step-by-step explanation:

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