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FinnZ [79.3K]
2 years ago
14

What is the equation of a line that passes through the points (3, 6) and (8, 4)?

Mathematics
1 answer:
romanna [79]2 years ago
5 0

9514 1404 393

Answer:

  y = -2/5x +36/5 . . . . . slope-intercept form

  2x +5y = 36 . . . . . . . . standard form

Step-by-step explanation:

You can use the 2-point form of the equation of a line to find it.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (4 -6)/(8 -3)(x -3) +6

  y = -2/5(x -3) +6

  y = -2/5x +36/5 . . . . slope-intercept form

  2x +5y = 36 . . . . . . . standard form

You might be interested in
PLEASE HELP precal!
sergij07 [2.7K]
Check the picture below

so.. .hmmm the vertex is at the origin... and we know the parabola passes through those two points... let's use either.. say hmmm 100,-50, to get the coefficient "a"

keep in mind that, the parabolic dome is vertical, thus we use the y = a(x-h)²+k  version for parabolas, which is a vertical parabola

as opposed to x = (y-k)²+h, anyway, let's find "a"

\bf y=a(x-0)^2+0\implies y=ax^2\qquad 
\begin{cases}
x=100\\
y=-50
\end{cases}\implies -50=a100^2
\\\\\\
\cfrac{-50}{100^2}=a\implies -\cfrac{1}{200}=a
\\\\\\
thus\qquad \qquad y=-\cfrac{1}{200}x^2\implies \boxed{y=-\cfrac{x^2}{200}}

now.. .your choices, show.... a constant on the end.... a constant at the end, is just a vertical shift from the parent equation, the equation we've got above.. is just the parent equation, since we used the origin as the vertex, it has a vertical shift of 0, and thus no constant, but is basically, the same parabola, the one in the choices is just a shifted version, is all.


5 0
3 years ago
What is the answer? Please explain
stiks02 [169]

Answer:

Step-by-step explanation:

Cevap D

5 0
2 years ago
felice bought 3/4 of a pound of american cheese at the dell she used 1/2 of the cheese to make sandwhiches how much cheese did s
andrew11 [14]
She used 2/4 pou.ds of cheese, or 8 ounces, or just a half-pound.
3 0
3 years ago
What is the resulting equation when the expression for y in the second equation is substituted into the first equation? 3x y = 1
Natali5045456 [20]

After putting the value of y from the second equation to the first equation, the resultant equation is x=5.

GIven:

The equations are:

3x + y = 1\\
y = 6 - 4x

It is required to put the value of y from second equation to the first equation.

<h3>How to solve equations?</h3>

The value of y from the second equation is,

&#10;y = 6 - 4x

Now, put this value of y in the first equation as,

3x + y = 1\\&#10;3x+(6 - 4x)=1\\&#10;3x+6-4x=1\\&#10;-x=-5\\&#10;x=5

Therefore, after putting the value of y from the second equation to the first equation, the resultant equation is x=5.

For more details about equations, refer to the link:

brainly.com/question/2263981

8 0
1 year ago
What is the answer to 0 &gt; 3x - 3 - 6?
swat32

Answer:

3 = x

Step-by-step explanation:

0 > 3x - 3 - 6

You want to group up the -3 and -6 first

0 > 3x - 9

Then you want to add 9 to each side to cancel out the negative 9 on one side.

0 > 3x - 9

+9        +9

9 > 3x

Now you just divide by 3 on each side

\frac{9 = 3x}{3}

3 = x

4 0
3 years ago
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