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Oxana [17]
3 years ago
9

Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0
A. 

This is because we start with the slope of 6. This is because it is the slope of the original equation (the number attached to x) and parallel lines have the same slope. Then you can use that along with the point to find the y intercept using slope intercept form (y = mx + b)

y = mx + b
10 = 6(4) + b
10 = 24 + b
-14 = b

So -24 must be the number at the end of the equation, making a the right answer. 
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The midpoint of AB is M(-3, 0). If the coordinates of A are (1,-4), what are the coordinates of B?
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Using the given information, the coordinates of B are (-7, 4)

<h3>Midpoint of a Line </h3>

From the question, we are to determine the coordinates of B.

Given a line with endpoints (x₁, y₁) and (x₂, y₂), then the midpoint of the line is

((x₁+x₂)/2, (y₁+y₂)/2)

From the given information,

The midpoint of AB is M(-3, 0)

and

The coordinates of A are (1,-4)

Let the coordinates of B be (x₁, y₁)

Then,

-3 = (1 + x₁)/2

-6 = 1 + x₁

x₁ = -6 -1

x₁ = -7

Also,

0 = (-4 + y₁)/2

0 = -4 + y₁

y₁ = 0 + 4

y₁ = 4

Hence, the coordinates of B are (-7, 4)

Learn more on Midpoint of a line here: brainly.com/question/18315903

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PLEASE HELP ASAP &lt;333<br><br> What is the sum of the geometric series ?
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Answer:

Step-by-step explanation:

There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.

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Three:   6^(3 - 1) = 6^2 =   36

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Step-by-step explanation:

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