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3 years ago

What’s the point slope form of an equation the has a slope of: (-1/6)

Mathematics

1 answer:

Zolol [24]3 years ago

5 0

Answer:

y +4 = (-1/6)(x -9)
y = -1/6x -2.5

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (h, k) is ...

y -k = m(x -h)

For your given values m=-1/6 and (h, k) = (9, -4), your equation is ...

y +4 = (-1/6)(x -9)

Solving for y puts this in slope-intercept form.

y = -1/6x +9/6 -4 . . . . eliminate parentheses, subtract 4

y = -1/6x -2.5

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Write the phrase as an expression. Then evaluate when y=20.

alisha [4.7K]

Answer:

$Q=\frac{40}{y-16}$

$Q=10$

Step-by-step explanation:

Let the quotient be represented by 'Q'.

Given:

The difference of a number 'y' and 16 is $y-16$

Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is $y-16$ . So, we divide both these terms to get an expression for 'Q'.

The quotient of 40 and $y-16$ is given as:

$Q=\frac{40}{y-16}$

Now, we need to find the quotient when $y=20$ . Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,

$Q=\frac{40}{20-16}\\Q=\frac{40}{4}=10$

Therefore, the quotient is 10, when the value of 'y' is 20.

7 0

3 years ago

. ,

Inessa05 [86]

Slope: 15 Y Int:40 equation y=15x+40. 24 Hours $55

7 0

3 years ago

PLEASE HELP I NEED HELP WITH THIS ASAP. PLEASE show work, thank you. Will give branliest

d1i1m1o1n [39]

If the slope is 5 perpendicular would be -1/5 just flip the slope around

3 0

3 years ago

A population of 200 rabbits can be modeled by the equation y = 200e^0.06x, where y is the final population of rabbits and x is t

Elenna [48]

Graph 2, Option 4 would be your answer because:
If you substitute 1 into the equation (x), you would get about 212
If you substitute 2, you would get approximately 225
If you substitute 10, you would get approximately 364.
Looking at the graph, your answer would be going up and to the right, the population is getting bigger while the years are increasing as well.
If we substitute 15 into x in the equation, we would get approximately 492.

3 0

3 years ago

A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and

Naya [18.7K]

<h2>The number of small buses used = 5</h2><h2>The number of big buses used = 4</h2>

Step-by-step explanation:

Let us assume the total number of small buses needed = x

The capacity of 1 small bus = 40

So, the capacity of x buses = 40(x) = 40 x

Let us assume the total number of big buses needed = y

The capacity of 1 big bus = 50

So, the capacity of y buses = 50(y) = 50 y

Also, the total students travelling = 400

So, the number of students traveling by (Small bus + Big bus) = 400

⇒ 40 x + 50 y = 400 ..... (1)

Also, the total number of drivers available = 9

⇒ x + y = 9 ..... (2)

Also, x ≤ 8, y ≤ 10

Now, solving both equations, we get:

40 x + 50 y = 400 ..... (1)

x + y = 9 ⇒ y = (9-x) put in (1)

40 x + 50 y = 400 ⇒ 40 x + 50 (9-x) = 400

or, 40 x + 450 - 50 x = 400

or, - 10 x =- 50

or, x = 5 ⇒ y = (9-x) = 9- 5 = 4

Hence the number of small buses used = 5

The number of big buses used = 4

8 0

3 years ago