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Required slope intercept form is [tex]y = - \frac{3}{5} x + 3[/tex]

What is slope ?

The slope of a line is a measure of the steepness and direction of the line. Finding the slope of lines in a coordinate plane can help predict whether the lines are parallel, perpendicular, or missing without using a compass.

The slope of any straight line can be calculated using two points on the line. The slope of the line formula calculates the ratio of "vertical change" to "horizontal change" between two different points on the line. In this article we will understand the slope finding method and its applications.

The slope of a line is defined as the change in the y-coordinate relative to the change in the x-coordinate of that line. The net change in the y-coordinate is Δy, while the net change in the x-coordinate is Δx. Thus, the change in the y-coordinate with respect to the change in the x-coordinate can be written as: m = Δy/Δx

Here given,Equation of line [tex] \frac{5}{3}y = - (x - 5)[/tex]

We want to find what is 5/3y=-(x-5) in slope intercept form ?

We want to simplify the equation.

[tex]5y = - 3(x - 5) \\ 5y = - 3x + 15 \\ y = \frac{ - 3x + 15}{5} \\ y = - \frac{3}{5} x + \frac{15}{5} \\ y = - \frac{3}{5} x + 3....(1)[/tex]

We know slope in line y = mx+c is m.

We are comparing equation (1) with y = mx + c and get [tex]m = - \frac{3}{5} [/tex]

Equation (1) is slope intercept form of 5/3y=-(x-5).

Therefore,required slope intercept form is [tex]y = - \frac{3}{5} x + 3[/tex]

Slope related one more question:

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Answer: 6.4 miles

Step-by-step explanation:

Lucinda lives 0.6 miles from the Park and Angie lives 10 times as far as this.

= 0.6 * 10

= 6 miles

Stacy lives 1/10 miles further than Angie;

= 6 + 1/10

= 6.1 miles

She lives 3/10 of a mile closer than Gabriel which means that Gabriel lives 3/10 of a mile further from the park than Lucinda;

= 6.1 + 3/10

= 6.4 miles

Answer:

Step-by-step explanation:

3x + 3x + 48 = 180

6x = 180 - 48

x = 132 / 6

x = 22

Answer:B

Step-by-step explanation:

Answer:

Step-by-step explanation:

C. lol

Answer:

D

Step-by-step explanation:

The equation of the line that passes through the point begin ordered pair, negative 6, 1, end ordered pair and has a slope of begin fraction . . . negative 1 over 2 . . . end fraction is y=-1/2x-2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope is -1/2

Using point-slope form, the equation of the line can be written as:

y - y₁ = m(x - x₁)

Substituting the values given in the problem, we get:

y - 1 = (-1/2)(x - (-6))

y-1=-1/2(x+6)

y-1 = -1/2x -3

y=-1/2x-2

Hence, the equation of the line that passes through the point begin ordered pair, negative 6, 1, end ordered pair and has a slope of begin fraction . . . negative 1 over 2 . . . end fraction is y=-1/2x-2.

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Factor the polynomial.

b^2 − c^2 − 10b + 10c

Answer:

The average is 8...........

Answer:

8

Step-by-step explanation:

0.056 is the decimal form and 56000.00 is the standard form.

'Decimal numbers in standard form are the simplest form, that can be easily read and written.'

According to the given problem,

The value of the digits to the right of the decimal point is less than 1

Hence we can conclude that decimal form is 0.056, Standard form is 56000.00.

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Answer:

601/14

Step-by-step explanation:

1/7(-1/2)=-1/14

43-1/14

602/14-1/14

601/14

Step-by-step explanation:

4(14+21) is one way you can write it

Answer:

30835 dollars

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Discrete is where its a whole number and does not continue.

There can only be a whole number of people. there cannot be half a person.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

.25+.25+.25+.25+.25

Answer:

x = 49

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

∠CBA = ∠EBD (Vertically opposite angles are equal)

          = 52°

Since in the triangle DBE, you already know two of the angles, you can find ∠BDE which is equal to ∠CAB (x + 9)°.

∠BDE = 180° - 70° - 52°

          = 58°

∠BDE = ∠CAB

          = ∠(x + 9)°

          = 58°

x + 9 = 58

x = 58 - 9

x = 49

Answer:

3/14

Step-by-step explanation:

This is because 1/2-1/3 is 1/6 and then 1/6 times 6/7 is 3/14

Answer:

here u go

Step-by-step explanation:

Answer:

Length = 18

Step-by-step explanation:

Length= 2w - 4

Perimeter= 58

Perimeter= 2L + 2w

58 = 2(2w-4) + 2w

58 = 4w -8 + 2w

58 = 6w - 8

66 = 6w

11 = w

Plug in width to find the variable L

58 = 2L + 2(11)

58 = 2L + 22

36 = 2L

18 = L

Answer:

buy =13

rent = 17

40=1.50 every hour is

41.5

43

44.5

46

47.5

49

50.5

52

....

2.00+ 1.50 an hour

3.5

7

10.5

14

17.5

21

...

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer: The constant rate of change is 8.

Answer:

y= -5x - 1

Step-by-step explanation:

Answer:

it's a little bit confusing and not too clear but the third one should be correct

Answer:

8 < 2

Step-by-step explanation:

8x + 5 > 15

8x > 15 - 5

8x > 10

x < 2

cmiiw

Answer:

The answer is 10 or 10/1

Answer:

the answer is 2 4/5

Step-by-step explanation:

there are two wholes plus 4 out of 5 pieces, so it is 2 and 4/5.

Answer:

3(k-6)

Step-by-step explanation:

I did it on i-Ready and got it right!

A common factor of 3k and 18 that is greater than 1 is 3.

An expression that shows 3k minus 18 is 3(k)-3(6).

An expression that is equivalent to 3k - 18 can be written as follows:

3(k - 6)

Given is an expression 3k-18 we need to an expression that is equivalent to it,

Let's break it down to understand why this expression is equivalent to 3k - 18:

Distributive Property: The expression 3(k - 6) can be expanded using the distributive property, which states that for any real numbers a, b, and c: a(b + c) = ab + ac.

In this case, a is 3, and b is k while c is -6. So we can apply the distributive property as follows: 3(k - 6) = 3k + 3(-6).

Simplification: The term 3(-6) can be simplified to -18, so the expression becomes 3k - 18.

Therefore, the expression 3(k - 6) is equivalent to 3k - 18 because both expressions yield the same result when evaluated for any value of k.

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Answer: The maximum value of the function is 4