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Andrews [41]
3 years ago
13

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

Mathematics
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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Given: -7x<-21 choose the solution set
Ahat [919]

Answer:

x > 3

Step-by-step explanation:

The only thing you need to do is just divide both sides by -7

-7x/-7<-21/-7

x>3

I hope this helped!! Good luck (:

6 0
2 years ago
Tyrone invested money for 3 years at 5% interest. If the interest paid was $60, how much money was invested? What was the total
yan [13]

Answer:

He invested $1200 and had a balance of $1260 after 3 years.

3 0
3 years ago
Shiloh is 7 years older than Courtney. Shiloh's age is 13 years less than two times Courtney's age. The system below models the
Andrews [41]

I'm afraid I don't see the models you have written about although I do know the answer. (C= Courtney's age, S= Shilo's age)

Shilo is 7 years older then Courtney, which equals to C+7=S.

While at the same time Shilo is 13 years younger then twice Courtney's age. This turns into Cx2-13=S.

c+7=cx2-13. This is the equation, now lets work it out.

Add 13 on each side and you get

c+20=2c

Now we subtract c from each side and we get

20=c Therefor we have found out that Courtney is 20 years old.

Shilo being 7 years older then Courtney is 27


8 0
3 years ago
What kind of growth model (pattern) is shown in the table?
g100num [7]
The kinda growth model patter is shown in the table is 5
3 0
3 years ago
A rectangles width is 4 less than its area and its length is 19. what is it’s width?
Alchen [17]

The width of the rectangle is \frac{2}{9} unit

Step-by-step explanation:

The given is:

  • A rectangles width is 4 less than its area
  • Its length is 19 units

We need to find the width of the rectangle

Assume that the width of the rectangle is x units

∵ The area of the rectangle = length × width

∵ The width of the rectangle = x units

∵ The length of the rectangle = 19 units

∴ The area of the square = 19 × x = 19 x units²

∵ The width of the rectangle is 4 less than its area

- That means subtract 4 from the area to find the width

∴ x = 19 x - 4

- Subtract 19 x from both sides

∴ -18 x = -4

- Divide both sides by -18

∴ x = \frac{-4}{-18}

- Reduce the fraction by dividing up and down by -2

∴ x = \frac{2}{9}

The width of the rectangle is \frac{2}{9} unit

Learn more:

You can learn more about the rectangles in brainly.com/question/12919591

#LearnwithBrainly

4 0
3 years ago
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