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Usimov [2.4K]
2 years ago
14

Graph the line with slope 1 passing through the point (5,1).

Mathematics
2 answers:
Alex787 [66]2 years ago
8 0

First place a dot on the point (5, 1). To find the next point, use the slope.

The slope(m) is:

m=\frac{rise}{run}

"rise" is the number of units you go up(+) or down(-) from each point

"run" is the number of units you go to the right from each point

You know the slope of the line = 1 or \frac{1}{1} , so from each point you go up one unit and to the right one unit.

From the point (5, 1), go up one unit and to the right one unit in order to find the next point, which should be (6, 2). So plot/make a dot on (6, 2), and you can continue using the slope to find another point, but you can just draw a line through the two points.

ser-zykov [4K]2 years ago
3 0

Answer:

A line is defined by two points.  What you need is to find coordinates of another point on the line, and then just draw a line between that point and point (5,1)

Step-by-step explanation:

The general eqation of the line is y=ax+b

We know that the slope is one, which makes a=1

We also know that when x=5, then y = 1

Let's plug it in:

1=1*5+b

1=5+b

b= -4

So the line equation is y=x-4

Let's pick x = 1 (you can pick any x, and just solve to find the y coordinate of another point.

So, when x = 1, y = 1 - 4 = -3

Now draw a line through points (5,1) and (1,-3)

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Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she
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Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

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The area in square feet that the fencing encloses.

Answer:

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Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

x+y+y=180\\\\x+2y=180\\\\x=180-2y

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

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x=4y

Replacing this value into the first equation, we have

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x=(4)(30)=120

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

(120)(30)=3600

The fence encloses 3600 sq ft.


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