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My name is Ann [436]
3 years ago
13

Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and

( 5 , − 8 ) (5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis.

Mathematics
2 answers:
Arlecino [84]3 years ago
8 0

Answer:

y - 1 = -3(x - 2)

Step-by-step explanation:

Sounds as though you want the equation of the line through (2, 1) and (5, -8).

As we move from (2, 1) to (5, -8), x (the "run") increases by 3 and y (the "rise") decreases by 9.  Thus, the slope of this line is m = rise / run = -9/3, or m = -3.

Let's use the point-slope formula for a straight line here:  The point (h, k) is (2, 1) and the slope is -3. Then y - k = m(x - h) becomes:

y - 1 = -3(x - 2)

Anastasy [175]3 years ago
6 0

Answer:

y = - 3x + 7

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 ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = \frac{-8-1}{5-2} = \frac{-9}{3} = - 3 , thus

y = - 3x + c ← is the partial equation

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

Using (2, 1) , then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

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stich3 [128]

Answer:

7 and 1/8 is the correct answer

Step-by-step explanation:

Multiply the fractions I think.

6 0
3 years ago
Write an equation in point-slope form of a line that goes through the points (1,4) and (3,-10). Do not use any spaces in your an
olasank [31]

Answer:

y-4=-7(x-1) OR y-(-10)=-7(x-3)

Step-by-step explanation: The point-slope form is y_-y_{1}=m_(x_-x_{1})

In slope-intercept form, the equation would be y = -7x + 11

You could find the slope by using the slope equation, \frac{y_{2} -y_{1} }{x_{2} -x_{1} }.

Using that, you would get -7. Thus by inserting one of the points and the slope in the point-slope equation, you will get your answer.

6 0
3 years ago
If drew is 3 years younger than jimmy and y is the sum of their ages what is a variable equation?
antiseptic1488 [7]
If jimmy's years is x,
then 3+2x=y
3 0
3 years ago
Read 2 more answers
I need help on this please
Romashka [77]

Answer:

with what

Step-by-step explanation:

4 0
3 years ago
a flagpole cast a shadow 25 meters long when the angle of elevation of the sun is 40 how tall is the flag pole to the nearest me
nata0808 [166]

Answer:12.59

Step-by-step explanation:

enter image source here

From the diagram you can see that we have constructed a right triangle, with height A and base 15.

Length of shadow = 15 feet.

Height of flagpole = A.

We know the angle of elevation is

40

∘

. Using this angle and the tangent ratio, we can find A.

tan

(

40

∘

)

=

opposite

adjacent

=

A

15

∴

tan

(

40

∘

)

=

A

15

Rearranging:

A

=

15

tan

(

40

∘

)

By calculator:

A

=

12.59

feet. ( 2 d.p.)

5 0
3 years ago
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