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german
3 years ago
10

What equation is graphed in this figure? y+2=−32(x−2) y−3=32(x+1) y+1=−23(x−3) y−4=−23(x+2) Number graph that ranges from negati

ve five to five on the x and y axes. A line passes through begin ordered point zero comma one end ordered pair and begin ordered pair two comma negative two end ordered pair
Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

y+2=-\frac{3}{2}(x-2)

Step-by-step explanation:

Given:

Two points on a line are given as:

(0, 1)  and (2, -2)

We know that the slope of a line passing through points (x_1,y_1)\ and\ (x_2,y_2) is given as:

m=\frac{y_2-y_1}{x_2-x_1}

Plug in x_1=0,y_1=1,x_2=2,y_2=-2. This gives,

m=\frac{-2-1}{2-0}\\\\m=\frac{-3}{2}=-\frac{3}{2}

The equation of a line with slope 'm' and points (x_1,y_1)\ and\ (x_2,y_2) is given as:

y-y_1=m(x-x_1)\\\\or\\\\y-y_2=m(x-x_2)

Now, on plugging in the second point (x_2,y_2)=(2,-2) we get:

y-(-2)=-\frac{3}{2}(x-2)\\\\y+2=-\frac{3}{2}(x-2)

Therefore, the first option is correct which is given as:

y+2=-\frac{3}{2}(x-2)

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Answer:

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Step-by-step explanation:

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3 years ago
PLEASE HELP!!! I NEED HELP ASAP
Tju [1.3M]

Answer:

y = 6x

Explanation:

This question is asking you to write a linear equation in slope-intercept form, <u>y = mx + b,</u> where m is the slope and b is the y-intercept.

The y-intercept (where the line crosses the y-axis) is visibly 0. As for the slope, you can take two points, I'll use (0,0) and (0.1,0.6) to calculate it.

Slope = y - y/x- x

Slope = (0.6 - 0)/(0.1 - 0) = 0.6/0.1 = 6

Plug in 0 for b and 6 for m and you have an equation.

y = 6x + 0

y = 6x

4 0
1 year ago
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joja [24]
It's 627,751. You're welcome.
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3 years ago
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11-Determine the specific heat of a material if a 12-g sample absorbed 96 J as it was heated from 20°C to 40°C. *
kompoz [17]

Answer:

c=0.4\ J/g^{\circ} C

Step-by-step explanation:

Given that,

Mass of a sample, m = 12 g

Heat absobed by the sample, Q = 96 J

It was heated from 20°C to 40°C.

We need to find the specific heat of a material. The heat absorbed by a sample is given by :

Q=mc\Delta T\\\\c=\dfrac{Q}{m\Delta T}\\\\c=\dfrac{96}{12\times (40-20)}\\\\=0.4\ J/g^{\circ} C

So, the specific heat of the material is 0.4\ J/g^{\circ} C.

3 0
3 years ago
__
natali 33 [55]
If M <span>is the midpoint of AB then AB = 2AM

8x - 6 = 2(3x + 3)
8x - 6 = 6x + 6
8x - 6x = 6 + 6
2x = 12
x = 12/2
x = 6

AM = 3x + 3 = 3*6 + 3 = 18 + 3 = 21 units
</span>
6 0
3 years ago
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