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2 years ago

A line passes through the points (1.4) and (2, 2). What is the equation of this line?

Mathematics

2 answers:

I am Lyosha [343]2 years ago

4 0

.5 is the slope and y=my+b is ur line equation

emmasim [6.3K]2 years ago

3 0

Answer:

y = - 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

m = $\frac{2-4}{2-1}$ = $\frac{-2}{1}$ = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 2 ) , then

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = - 2x + 6 ← equation of line

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Answer:

∠8 and ∠5

Step-by-step explanation:

Vertical angles are angles that are across from each other.

∠8 and ∠5 are across from each other.

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3 years ago

Write an expression for “seven less than three halves of z”<br>

ser-zykov [4K]

Answer:

7- 3/2Z

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3 years ago

What is the solution of this linear system? x+y=13

igor_vitrenko [27]

Answer:

The solution of the linear equation is: (6,7)

Step-by-step explanation:

This being that:

x + y = 13

1/2x + y = 10

What you do in order to find the solution is either (2 ways):

- Substitution

- Elimination

I'm sure that either way, you'll get the same thing. I used: Substitution.

To do this choose either if you want to find [x] or [y] first, then substitute it in. I will choose to find [x] first.

Now substitute it into:

1/2x + y = 10

1/2(13 - y) + y = 10

1/2(13 -y) + y= 10

<h2>Then to get rid of fraction, instead of dividing, you multiply with reciprocal</h2><h2>1/2 · 2/1 (They cancel out) Leaving you with:</h2><h3 /><h3>(13 - y) 2(y) = 2(10)</h3><h3>(Everything is multiplied, except for 13 - y, because it had parenthesis to protect it.)</h3><h3>13 - y + 2y = 20</h3><h3 /><h2>13 + y = 20</h2><h2><u>- 13 - 13</u></h2><h2> <u>y = 7</u></h2><h2 /><h2>You now have your [y] for your coordinate.</h2><h2>(x, 7), now time to find your [x]</h2><h2 />

Now you substitute your [y] into your equation:

1/2x + (7) = 10

<h2>1/2x + 7 = 10</h2><h2><u> -7 = -7</u></h2><h2>1/2x = 3</h2><h2>(To get rid of fraction, multiply on both sides with reciprocal)</h2><h2>1/2 cancels out with 2/1</h2><h2>x = 2(3)</h2><h2>x = 6</h2><h2>You now have your [x] coordinate.</h2><h2 /><h2>This is your coordinate: </h2><h2>(6,7)</h2><h2></h2>

4 0

3 years ago

A car travels 14km in 25mins . Find out how far the car can travel in 5 hours if the speed remains the same ?

jekas [21]

<h3><u>Answer :- </u></h3>

168 km ...

<h3><u>Explanation :- </u></h3>

It is given that the car travels 14km in 25 minutes..

Now , assume that the distance the car travel in 5 hours be x..

Since 1 hour = 60 minutes..
5 hours = 300 minutes ..

• Thus , The two given statements are :-

14km -----------------> 25 minutes..
And, x km -------------> 300 minutes..

The distance travelled by car and the time taken by the car is directly proportional to each other....

$\frac{14}{25} = \frac{x}{300}$

$= x = 168km$

• Hence , Car can travel 168km in 5 hours ..

Hope this helps you :)

6 0

2 years ago

I need help finding Angle P

Doss [256]

Hey bae use math-way it will definitely help

7 0

3 years ago