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andre [41]
3 years ago
11

what is the equation of a line that passes through the point (6,1) and is perpendicular to the line whose equation is y=2x-6?

Mathematics
2 answers:
icang [17]3 years ago
7 0
Y = (-1/2)x - 3
This line has a slope of -1/2.
Perpendicular lines have negative reciprocal slopes. The slope of the line perpendicular to the given line is 2.

y = mx + b is the slope-intercept form of the equation of a line
We have the point (6, -4) as a point on the given line. We can use these as the values of x and y in the slope-intercept form of the equation of a line.

-4 = 2(6) + b
-4 = 12 + b
-16 = b
This tells us that the line perpendicular to the given line has a y-intercept of -16. The equation of that line is:

y = 2x - 16
alexandr402 [8]3 years ago
3 0

Answer:

y = -(1/2)x + 4

Step-by-step explanation:

Use the standard form on an equation:  y = mx + b

A line that is perpendicular has a slope that is the opposite reciprocal of the other line.  We also have a point (x, y) that is on the line, so our equation begins as..

1 = -(1/2)(6) + b           We must solve for b (  -1/2 is the opposite reciprocal of 2)

1 = -3 + b

4 = b  

so our equation is

y = -(1/2)x + 4

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The midpoint of AB is M (-3,-3) if the coordinates of A are (-8,-2)what are the coordinates of B
bearhunter [10]

The coordinates of B would be (2, -4)

In order to find this, we need to know that the value of M's points will always be the average of A and B's points. This is because it is the midpoint. Therefore we can use the following formula.

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Then we can do the same for the y values

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Around the 3 + 6:-

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Step-by-step explanation:

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Agatha is five times older than her son bob. three years ago she was nine times older. how old is agatha?
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Write an equation system based on the problem
"Agatha is five times older than her son, Bob" could be written as:
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Solve the equation system
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3 years ago
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