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Serga [27]
3 years ago
8

A line passes through (3, 7) and (6, 9). Which equation best represents the line?

Mathematics
2 answers:
sp2606 [1]3 years ago
8 0
The name is the second option y= (2/3)x +5. Hope this helps

Sidana [21]3 years ago
8 0
Let's recall the equation to find out the slope of a line:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Next, we substitute our given values into the equation, and simplify:

\frac{9-7}{6-3}=\frac{2}{3}

Now, we insert the slope (2/3) into the y=mx+b equation and substitute the values from one of the coordinates to find what b, the y-intercept is:

y=\frac{2}{3}x+c \\ 7=\frac{2}{3}(3)+c \\ 7=2+c \\ c=5

So, the y-intercept is 5. We can now put our discovered values for the slope and the y-intercept into one equation:

y=\frac{2}{3}x+5

The answer is B.
You might be interested in
Para ampliar uma sala quadrada, foram acrescentados 4 metros em seu comprimento e 2 metros em sua largura, conforme a figura. Qu
ollegr [7]

Answer:

b) x^2 + 6x + 8

Step-by-step explanation:

Para ampliar la habitación cuadrada, se agregaron 4 metros de largo y 2 metros de ancho, como se muestra en la figura.

Deje que la longitud y el ancho de la habitación antes de la expansión sean x.

La nueva longitud de la sala es (x + 4).

El nuevo ancho de la sala es (x + 2).

La nueva área de la sala será:

(x + 4)(x + 2)\\x^2 + 2x + 4x + 8\\x^2 + 6x + 8\\\\

Esa es la nueva área de la habitación.

3 0
3 years ago
(19,-9) (-7,-15) in slope intercept form
never [62]

Answer:

y=\frac{3}{13}x-\frac{174}{13}

Step-by-step explanation:

slope:

m=\frac{-15-(-9)}{-7-19} =\frac{-15+9}{-26} =\frac{-6}{-26} =\frac{3}{13}

Equation, with the point (19, -9):

y-(-9)=\frac{3}{13} (x-19)

y+9=\frac{3}{13} x-\frac{57}{13}

y=\frac{3}{13} x-\frac{57}{13} -9

                                      -9=-9(\frac{13}{13} )=-\frac{117}{13}

y=\frac{3}{13}x-\frac{174}{13}

Hope this helps

8 0
2 years ago
What is the value of the expression 30 - 9+ 3 - (12 = 4)?
Flauer [41]

Answer:

21

Step-by-step explanation:

30 - 9 +3

30 - 12

18

18 - 12=4

      12/4 = -3

18 - -3

21

8 0
2 years ago
Convert the following fraction to a decimal.
Nookie1986 [14]
I think it’s C but I could be wrong but I don’t think I am
6 0
2 years ago
The expression n2 + n represents the total number of blocks used in the nth figure of a pattern. Use the equation n2 + n = 56 to
Brrunno [24]

We have to solve this quadratic equation n^{2}+n=56 for n to get <em>which figure has 56 blocks</em>.

n^{2}+n=56\\n^{2}+n-56=0

For middle term factorization, we need <em>two numbers that multiplied gives us -56 and added gives us 1 (coefficient of n).</em>

<em>Such two numbers are </em><em>8</em><em> and </em><em>-7</em><em>. We can now write,</em>

<em>n^{2}+n-56=0\\(n+8)(n-7)=0\\n=-8, 7</em>

<u><em>"There is no negative figure number possible, so we disregard -8"</em></u>

Our answer is 7.


ANSWER: The 7th figure has 56 blocks.


3 0
3 years ago
Read 2 more answers
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