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Phoenix [80]
3 years ago
10

Write an equation of the line with the given slope that contains the given point.

Mathematics
1 answer:
Alchen [17]3 years ago
3 0

Answer:

y=-2x+12

Step-by-step explanation:

We can use the point-slope form given by:

y-y_1=m(x-x_1)

Where <em>m</em> is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for <em>m</em> and (5, 2) for (x₁, y₁). This gives us:

y-(2)=-2(x-(5))

Simplify:

y-2=-2(x-5)

Distribute:

y-2=-2x+10

Add 2 to both sides. Hence, our equation is:

y=-2x+12

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Zepler [3.9K]
Answer is <span>B. (7, 5) 

</span><span>y - 5 = 6(x – 7) 
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0      = 0</span>
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What is the y-intercept of y = 4x? Choose 1 answer:​
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The y-intercept of y=4x is (0, 0)

Option B is correct

<h3>Y-intercept of a linear equation</h3>

The slope-intercept of a line is given as:

y = mx + c

where m represents the slope

c represents the y-intercept

The given equation is y = 4x

To find the y-intercept, substitute x = 0 into the equation and solve for y

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Learn more on y-intercept of a line here: brainly.com/question/10700419

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Law Incorporation [45]

Answer:  89 will go in the box

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===========================================================

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\

--------------------------

Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get \sqrt{89} as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

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