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Kipish [7]
3 years ago
8

Find the equation of a line with the given points.(put your answers in the form y=mx+b)(6,2)(5,5)

Mathematics
2 answers:
Nesterboy [21]3 years ago
6 0

The slope-intercept form: y= mx + b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (6, 2) and (5, 5). Substitute:

m=\dfrac{5-2}{5-6}=\dfrac{3}{-1}=-3

Therefore we have y = -3x + b.

Put the coordinates of the point (5, 5) to the equation:

5 = -3(5) + b

5 = -15 + b     <em>add 15 to both sides</em>

20 = b

<h3>Answer: y = -3x + 20</h3>
igomit [66]3 years ago
5 0

Answer:

y = -3x + 20

Step-by-step explanation:

(a) Slope

The <em>point-slope formula</em> for a straight line is

y₂ - y₁ = m(x₂ - x₁)     Insert the points  

2 - 5 = m(6 - 5)

    -3 = m×1

    m = -3

=====

(b) y-intercept

y₂ - y₁ = m(x₂ - x₁)

y₂ - 5 = -3(x₂ - 5)     Remove parentheses

y₂ - 5 = -3x₂ - 15       Add 5 to each side

      y = -3x + 20

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tensa zangetsu [6.8K]

Answer:

y=-2x+12

Step-by-step explanation:

This is an equation in slope-intercept form:

y=mx+b (where m is the slope and b is the y-intercept)

We are given the slope, -2.

y=-2x+b

We plug in the values (5,2):

2=(-2)*5+b

2=-10+b

b=12

The equation is:

y=-2x+12

3 0
3 years ago
HELP PLS Match each graph with the logarithmic function it represents
SIZIF [17.4K]

Each graph has been matched with the logarithmic function it represents as follows:

  • f(x) = 3 - 4In (x-2) = graph 3.
  • f(x) = 3 - Inx = graph 1.
  • f(x) = In(x + 1) = graph 4.
  • f(x) = 2In(x + 3) = graph 2.

<h3>What is a function?</h3>

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

<h3>The types of function.</h3>

In Mathematics, there are different types of functions and these include the following;

  • Periodic function
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<h3>What is a logarithm function?</h3>

A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:

y = logₐₓ

In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:

  • f(x) = 3 - 4In (x-2) = graph 3.
  • f(x) = 3 - Inx = graph 1.
  • f(x) = In(x + 1) = graph 4.
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Read more on logarithm function here: brainly.com/question/13473114

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2 years ago
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Answer:

Yes, she is correct

Step-by-step explanation:

A trapezoid has exactly one pair of parallel lines and 4 sides

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Answer:

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