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3 years ago

Ok theres two questions I need the equation and answer. Please help!!

Mathematics

2 answers:

Makovka662 [10]3 years ago

7 0

Answer:

1) y = -2/3x - 4

2) y = -3x + 7

Step-by-step explanation:

1) Plug in the slope (m) and y intercept (b) into the equation

y = mx + b

y = -2/3x - 4

2) Find the slope (m) m = y₂ - y₁/ x₂ - x₁

m = 4 - (-2)/1 - 3

m = 6/-2

m = -3

Then find the y intercept (b) by plugging x, y and m into y = mx + b (you can choose either point given

4 = -3 ( 1) + b

4 = -3 + b

Add 3 to both sides

7 = b

So now you know m = -3 and b = 7

Plug into y = mx + b

y = -3x + 7

miv72 [106K]3 years ago

3 0

Slope Intercept: Y=mx + b

1. Y= -2/3x + -4

2. Y= 1/3x + 7

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If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

Ksju [112]

Answer:

Slope = 27/11
AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .
The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .
The length of line AB .

We can find the slope of the line passing through the points $( x_1,y_1)$ and $( x_2,y_2)$ as ,

$\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}$

Plug in the respective values ,

$\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}$

Hence the slope of the line is 27/11 .

$\rule{200}2$

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

$\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }$

Hence the length of AB is 29.15 units .

5 0

3 years ago

Solve this thing pls <img src="https://tex.z-dn.net/?f=3%5Cleft%28q-7%5Cright%29%3D27" id="TexFormula1" title="3\left(q-7\ri

evablogger [386]

Answer:

Solution of equation ( q ) = 16

Step-by-step explanation:

In this question we have given an equation that is 3 ( q - 7 ) = 27 and we have asked to solve this equation that means to find the value of  q .

Solution : -

$\quad \: \longmapsto \: 3(q - 7) = 27$

Step 1 : Solving parenthesis :

$\quad \: \longmapsto \:3q - 21 = 27$

Step 2 : Adding 21 on both sides :

$\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21$

On further calculations we get :

$\quad \: \longmapsto \:3q = 48$

Step 3 : Dividing by 3 from both sides :

$\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }$

On further calculations we get :

$\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}$

Therefore, solution of equation ( q ) is 16 .

Verifying : -

Now we are very our answer by substituting value of q in the given equation . So ,

3 ( q - 7 ) = 27

3 ( 16 - 7 ) = 27

3 ( 9 ) = 27

27 = 27

L.H.S = R.H.S

Hence, Verified.

Therefore, our solution is correct .

<h2>#Keep Learning</h2>

3 0

2 years ago

Read 2 more answers

Please help! I’ll mark brainliest

OLga [1]

The answer would be 6

8 0

2 years ago

What is the gcf of 21 30 anwhat is the gcf of 21 , 30 ,and 44?

Ymorist [56]

Find the prime factorization of each value.

21 is 7*3

30 is 3*10 which can be further broken down into 3*2*5

44 is 4*11 which can be further broken down into 2*2*11

What do they share in common?
21 and 30 each have a 3 in common.
Therefore the GCF(21, 30) = 3.

21 and 44 share a 2 in common.
But if we're looking at all three of them together, they share nothing in common.

5 0

3 years ago

Find the number of terms in the sequence and find the sum of the sequence: 5+9+13+...+145

SashulF [63]

145-13-9-5 that what your looking for

8 0

1 year ago