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Sever21 [200]
3 years ago
13

Complete the point-slope equations of the line through (3,6) and (5,-8). Use exact numbers.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

y - 6 = - 7(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (5, - 8)

m = \frac{-8-6}{5-3} = \frac{-14}{2} = - 7

Use either of the 2 points for (a, b)

Using (3, 6), then

y - 6 = - 7(x - 3) ← in point- slope form

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In a direct variation, the ratio of y -values to x -values is equal to a constant.
liberstina [14]

Answer:

True

Step-by-step explanation:

The equation of direct variation is

y = kx ← k is the constant of variation

To find k divide both sides by x

\frac{y}{x} = k

That is the constant is the ratio of y- values to x- values

3 0
3 years ago
the number of states that entered the union in 1889 was half the number of states "s" that entered in 1788. which expression sho
blondinia [14]

Answer:

x = s/2

Step-by-step explanation:

● s states have joined the union in 1788

● half of s have joined in 1889

Let x be the number of states that have joined in 1889

● x = (1/2)× s

● x = s/2

3 0
3 years ago
PLZZZZZ HELP NEEDED ASAP WILL GIVE BRAINLIEST (IF RIGHT)
Harlamova29_29 [7]

x= 90° - 63° = 27° (NO perpendicular to AOB)

angle DOB = (90°+90°) -128° (angles on a straight line)

= 180° - 128°

= 52°

y= 180° - x - 63° - angle DOB (angles on a straight line)

=180° - 27° - 63° - 52°

= 38°

I'm not sure of the answer tho^^ good luck!

8 0
3 years ago
14 friends go out for dinner and the bill for food and drink comes to £130. The friends decided to add a 5% tip on the top of th
Hitman42 [59]

The amount each friend does pay is £9.75

<h3>How to calculate the pay of each friend using fractions and arithmetic operations?</h3>

We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.

From the given information:

  • The 5% of 130 = £6.5
  • Total amount paid = £130 + £6.5 = £136.5

Therefore, the cost of each friend is = \dfrac{136.5}{14}

The cost of each friend = £9.75


Learn more about fractions here:

brainly.com/question/78672

#SPJ1

4 0
2 years ago
Is the relationship linear, exponential, or neither?
irga5000 [103]
Linear because x moves up by 3 and y moves up by 7
6 0
3 years ago
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