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Hunter-Best [27]
3 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]3 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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Find the equation of the line.
MrRa [10]

Answer:

the equation is in form

y=mx+b where

m=slope

and

b=y-int (the y value for the vertex)

first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5

then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is

y=x+5

Step-by-step explanation:

5 0
3 years ago
Someone please help<br> Me
Ne4ueva [31]

Answer:

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Step-by-step explanation:

3 0
3 years ago
the width of a piece of rectangular land is 5m shorter rhan 1/3 of its length .find the width of the land if the length is 60m,1
aniked [119]

Answer:

If width = 60 m, length = 195 m.

If width = 150 m, length = 465 m.

Step-by-step explanation:

The area of a rectangle is l * w or length times width.

So we can set an equation (letting w = width and x = length)

w = 1/3x - 5

Part 1: width = 60m:

60 = 1/3x - 5

65 = 1/3x

x = 195 m

Part 2: width = 150 m:

150 = 1/3x - 5

155 = 1/3x

x = 465 m

6 0
2 years ago
Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine! Payton is overcome with emotion an
LUCKY_DIMON [66]

The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.

<h3>How to calculate the length?</h3>

From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.

The length will be calculated thus:

Cos 35° = 153/AC.

AC = 153/cos 35°

AC = 153/0.819

AC = 186.78 feet.

Therefore, the length is 186.78 feet.

Learn more about length on:

brainly.com/question/2217700

6 0
1 year ago
G
Oxana [17]

Answer: The measurement of angle B is 34. The measurement of angle C is 108. The measurement of angle F is 72.

Step-by-step explanation:

4 0
2 years ago
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