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3 years ago

Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)

Mathematics

1 answer:

KengaRu [80]3 years ago

4 0

9514 1404 393

Answer:

y = 7/3x +13/3

Step-by-step explanation:

The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...

m = -1/(-3/7) = 7/3

The y-intercept of the perpendicular line can be found from ...

b = y -mx

b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3

Then the slope-intercept equation of the perpendicular line is ...

y = mx +b

y = 7/3x +13/3

_____

Additional comment

You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...

y -k = m(x -h)

For our perpendicular line, the equation is ...

y +5 = 7/3(x +4)

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3 years ago

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ExtremeBDS [4]

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3 years ago

Read 2 more answers

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.

11111nata11111 [884]

Answer: PART A.

y= remaining height of candle

x= rate the candle burns down in inches per hour

8= original height of candle

the function would be y=8- 0.5x because the candle starts at a height of 8 feet and loses half an inch per hour.

You can use this function to create ordered pairs by putting in number at x which indicates the time:

x=1

y=8- (.5×1)= 7.5

(1, 7.5)

you can then do this for other numbers and get:

(2, 7.0) (3, 6.5) (4, 6.0) (5, 5.5) (6, 5.0)

PART B.

This equation is a function because all of the x-values had different y-values as seen in the coordinates (1, 7.5) (2, 7.0) (3, 6.5) (4, 6.0) (5, 5.5) (6, 5.0)

PART C.

If the rate was 0.4 inches an hour, it would still be a function because the rate is the only thing that changed making the new function y= 8- 0.4x.This equation would make coordinates of (0,8) (1, 7.6) (2, 7.2) (3, 6.8) and so on with each x value creating a different y value.

Step-by-step explanation: hope this helps

3 0

3 years ago

4x - 2y = -2 6x + 3y = 27

JulijaS [17]

Answer:

Step-by-step explanation:

4x - 2y = -2 ------------------(I)

6x + 3y = 27 ------------------(II)

Multiply (I) by 3 & multiply (II) by 2

(I)*3 12x - 6y = -6

(II)*2 12x + 6y = 54 { Now add & y will be eliminated}

24x = 48

x = 48/24

x = 2

Plugin the value of x in equation (I)

4*2 - 2y = - 2

8 - 2y = -2 {subtract 8 from both side}

-2y = -2 - 8

-2y = -10 {Divide both sides by -2}

y = -10/-2

y = 5

6 0

3 years ago

PLEASE HELP ASAP!!

Igoryamba

Answer:

The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.

Step-by-step explanation:

Given: $6x=24$

To find: x

Solution:

A equation is a statement that defines the equality of two expressions or numbers.

$6x=24$

Divides both sides by 6

$\frac{6x}{6}=\frac{24}{6}\\x=4$

Therefore,

The equation is true when x = 4 because 6(4) = 24 that is x=4 satisfies the given equation.

3 0

4 years ago