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3 years ago

13

Write the linear equation in slope-intercept form given the following: (-3, 7) and (6, -8)

1 answer:

Viefleur [7K]3 years ago

6 0

Answer:

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

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 ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)

m = $\frac{-8-7}{6+3}$ = $\frac{-15}{9}$ = - $\frac{5}{3}$ , then

y = - $\frac{5}{3}$ x + c ← is the partial equation

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

Using (6, - 8) , then

- 8 = - 10 + c ⇒ c = - 8 + 10 = 2

y = - $\frac{5}{3}$ x + 2 ← equation of line

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3/2+t=1/2 how to slove

Nataly [62]

First, let's isolate t! Make sure to change your signs when you change from one side of the equation to the other.

3/2 + t = 1/2
t = 1/2 - 3/2

Now, we can solve for t!

t = 1/2 - 3/2
t = -2/2
t = -1

Hope this helps!
Message me if you have any questions :)

8 0

4 years ago

Read 2 more answers

This graph shows the solution to which inequality?

Ksenya-84 [330]

Answer:

The graph shows the solution of the inequality y > $\frac{4}{3}$ x - 2 ⇒ D

Step-by-step explanation:

In the inequality,

If the sign of inequality is ≤ or ≥, then the line that represents it must be a solid line

If the sign of inequality is < or >, then the line that represents it must be a dashed line

If the sign of inequality is > or ≥, then the shaded area must be over the line

If the sign of inequality is < or ≤, then the shaded area must be under the line

From the given graph

∵ The slope of the line = $\frac{2--6}{3--3}$ = $\frac{2+6}{3+3}$ = $\frac{8}{6}$ = $\frac{4}{3}$

∵ The y-intercept is (0, -2)

∵ The line is dashed and the shaded area is over the line

→ By using the 2nd and 3rd notes above, the line is dashed and

the sign of inequality is >

∴ The inequality is y > $\frac{4}{3}$ x - 2

∴ The graph shows the solution of the inequality y > $\frac{4}{3}$ x - 2

7 0

3 years ago

What is 3/7 in simplest form

Yuki888 [10]

We cannot simplify it because the denominator does not have a common factor with the numarator.

6 0

3 years ago

Read 2 more answers

8,36 : 1,6<br><br><br><br> pleaseeeeeeeeee

Lyrx [107]

Answer:

209 : 40 or 5.225 : 1

Step-by-step explanation:

Your calculator can tell you the ratio 8.36/1.60 is 5.225. Writing that decimal as a fraction, you can factor out 25 to get ...

8.36 : 1.6 = 5.225 : 1 = 5225 : 1000 = (25)(209) : (25)(40) = 209 : 40

4 0

3 years ago

A shipment To a warehouse consists of 4500 MP3 players the manager chooses a random sample of 50 MP3 players and finds that 7 ar

riadik2000 [5.3K]

Answer:

<u>630</u> MP3 players are likely to be defective.

Step-by-step explanation:

Given:

A shipment to a warehouse consists of 4500 MP3 players the manager chooses a random sample of 50 MP3 players and finds that 7 are defective.

Now, to find the MP3 players which are likely to be defective.

Let the defective MP3 players be $x.$

Total MP3 players = 4500.

In sample of 50 MP3 players 7 are defective.

Now, setting the proportion:

If, 50 is equivalent to 7.

Then, 4500 is equivalent to $x.$

Now, to solve using cross multiplication method:

$\frac{50}{7} =\frac{4500}{x}$

<em>By cross multiplying we get:</em>

<em /> $50x=31500$ <em />

<em>Dividing both sides by 50 we get:</em>

$x=630.$

Therefore, 630 MP3 players are likely to be defective.

5 0

3 years ago