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3 years ago

What is the equation of the line passing through the points (–5, –2) and (3, 14) in slope-intercept form?

Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Answer:

2x-y+2= 0

Step-by-step explanation:

(-5,-2)=(x1, y1)

(3, 14) =(x2, y2)

now,

slope(m)= y2-y1 / x2-x1

=14+2 / 3+5

= 16 /8

=2 units

passing point = (-5,-2) = x1,y1

now,

eqn of the line can be represented as,

y -y1 = m (x-x1)

y +2 = 2 (x +5)

y+2 = 2x +10

y = 2x+10-8

0 = 2x+2-y

2x-y+2 =0 is the required eqn

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Let f(x) = x2 – 16 and g(x) = x + 4. Find fg f g and its domain.

Marta_Voda [28]

Answer: fg $=x^3+4x^2-16x-64$ and

Domain: All real number. All real number or $(-\infty,\infty)$

Explanation:

fg means product of two given function f(x) and g(x)

where,

$f(x)=x^2-16$ and $g(x)=x+4$

Now, we have to find fg

So, fg= $f(x)\times g(x)$

Substitute f(x) and f(x)

$\Rightarrow (x^2-16)(x+4)$

Using distributive property simplify above expression and we get,

$\Rightarrow x^3+4x^2-16x-64$

We can see it is cubic polynomial. So, domain of cubic polynomial is all real number.

Domain: All real number or $(-\infty,\infty)$

6 0

3 years ago

Read 2 more answers

PLEASE HELP ILL MARK YOU BRAINLIEST A student is assessing the correlation between the number of hours a plant receives sunlight

Studentka2010 [4]

Glad you ask!!!

Part A: ok so... linear correlation between the number of hours of sunlight that a plant receives and the eight it grows. so its like the amount of sunlight.

Part B: The function that is the best fit is y=3x+4

Part C: The slope shows the plant and the intersection with the y axis

Hope this helps :)

5 0

3 years ago

I got the rest done and now my brain Isn't cooperating, h e l p

Scilla [17]

1 x= 2

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Heart or brainly me!

4 0

3 years ago

Is the answer B correct?

VashaNatasha [74]

If you do the elimination process, here it is.

- A : Too small

+ B : I think so

- C : I little too big

- D : Way too big

7 0

4 years ago

Read 2 more answers

Okay this my last one can y'all help

zlopas [31]

a. The solution is (0,2)

b. The first expression will be easier to substitute as in the first expression the variable y is already isolated on one side of the equation so we can easily put 5x+2 in place of y in equation 2.

Step-by-step explanation:

Given equations are:

$y = 5x+2\ \ \ \ Eqn1\\12.5x+2.5y = 5\ \ \ \ Eqn2$

a. Solution

Putting y = 5x+2 in equation 2

$12.5x+2.5(5x+2) = 5\\12.5x+12.5x+5 = 5\\25x +5 = 5\\25x = 5-5\\25x = 0\\x = 0$

Putting x = 0 in equation 1

$y = 5(0)+2\\= 0+2 = 2$

Hence,

The solution is (0,2)

b: Reason:

The first expression will be easier to substitute as in the first expression the variable y is already isolated on one side of the equation so we can easily put 5x+2 in place of y in equation 2.

Keywords: Linear equation, substitution

Learn more about linear equations at:

#LearnwithBrainly

7 0

4 years ago