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stira [4]
3 years ago
14

What is the equation of the line?​

Mathematics
1 answer:
kompoz [17]3 years ago
8 0

A line has an equation of a form,

y=ax+b

From a graph we can pick two points on the line, say A and B where,

A(x_1,y_2),B(x_2,y_2)\longrightarrow A(0,0),B(1,-1)

Using their coordinates we are able to calculate slope.

a=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-0}{1-0}=-1

Hence,

y=-1\cdot x+b

The x and y terms can be replaced with coordinates of one point either A or B. I'll pick A.

0=-1\cdot0+b

And now solve for b.

0=0+b\Longrightarrow b=0

Hence,

y=-1\cdot x+0

Simply,

\boxed{y=-x}

Hope this helps.

r3t40

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4(4-w)=3(2w+2)<br>find w​
Travka [436]

Answer:

1

Step-by-step explanation:

4(4-w) = 3(2w+2)

Use distributive property:

16 - 4w = 6w + 6

    +4w  +4w

------------------------

     16 = 10w + 6

    -6              -6

-------------------------

        10 = 10w

        ----    -----

        10      10

         1 = w

Hope this helped.

7 0
3 years ago
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Find an expression which represents the sum of (-8x+7y)(−8x+7y) and (2x-2y)(2x−2y) in simplest terms.
Yakvenalex [24]

Answer:

(-8x+7y)(−8x+7y)+(2x-2y)(2x−2y)= simplified - 68x^2+53y^2−120xy

I hope this helps ! <3

Step-by-step explanation:

3 0
3 years ago
Solve each linear equation for x. (A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23x – 9 = 13x x =
mojhsa [17]

Answer:

A. x = -3

B. x = 2

C. x = 9/10

Step-by-step explanation:

(A) –12x + 9 = –15x

Collect like terms

9 = -15x + 12x

9 = -3x

x = 9 / -3

x = -3

(B) 4.5x + 11.5 = 8.5x + 3.5

4.5x - 8.5x = 3.5 - 11.5

-4x = -8

x = -8 / -4

x = 2

(C) 23x – 9 = 13x

-9 = 13x - 23x

-9 = -10x

x = -9 / -10

x = 9/10

5 0
3 years ago
What the base and formula v
Dmitriy789 [7]

Answer:

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The parallelograms below are similar.
vova2212 [387]

Answer:

The length of sideAB=4

The measure of angle E=60

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