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vlabodo [156]
2 years ago
12

Write an equation in

Mathematics
1 answer:
maria [59]2 years ago
5 0

Answer:

The equation in slope-intercept form of required line is: \mathbf{y=-x+2}

Step-by-step explanation:

We need to write equation in slope-intercept form to represent the  relationship on the  graph.

The general equation in slope-intercept form is: y=mx+b

Where m is slope and b is y-intercept

Finding slope using formula: Slope=\frac{y_2-y_1}{x_2-x_1}\\

Looking at he graph we have

x_1=0, y_1=2, x_2=1, y_2=1

Putting values in formula and finding slope:

Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{1-2}{1-0}\\Slope=\frac{-1}{1}\\Slope=-1

So, we get slope m = -1

Using slope m=-1 and point (0,2) we can find y-intercept

y=mx+b\\2=-1(0)+b\\b=2

So, y-intercept b = 2

The equation of line having m=-1 and b=2 will be:

y=mx+b\\y=-1(x)+2\\y=-x+2

The equation in slope-intercept form of required line is: \mathbf{y=-x+2}

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Y=-3x+6 and y=5x-2 for y
andriy [413]

Answer:

The first one is x=2 and the second one is x=2/5 or 0.4

Step-by-step explanation:

4 0
3 years ago
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Sati [7]

Answer:

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Step-by-step explanation:

4 x^ + 36=0

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3 years ago
.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s
Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

5 0
2 years ago
Can somebody help me please
77julia77 [94]

Answer:

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3 0
3 years ago
A light bulb consumes 3600 watt-hours in 3 days and 18 hours. How many watt-hours does it consume per day?
Tasya [4]

18 hours = 18/24  reduces to 3/4 of a day

3/4 = 0.75

so 3600/3.75 = 960 watts per day

3 0
3 years ago
Read 2 more answers
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