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2 years ago

what is the equation of a line that is perpendicular to y= 1/2x - 6 and passes through the point (6,4)?

Mathematics

2 answers:

Aliun [14]2 years ago

6 0

Perpendicular to a slope of 1/2 is the negative reciprocal slope -1/(1/2) = -2.

y = - 2 x + b

y + 2 x = b

b = 4 + 2(6) = 16

y = -2x + 16

Check:

-2(6)+16=4 good

Answer: y = -2x + 16

77julia77 [94]2 years ago

6 0

The equation for any straight line is y=mx+b, m being the slope and b being the y-intercept. Because the line is perpendicular to y=1/2x-6, the slope of the two lines is the same. Therefore, m=1/2x. Now we need to find b, which we can do by plugging the given coordinate in. (4=1/2(6)+b) Solve and find b=1. The equation is y=1/2x+1.

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3 years ago

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Step-by-step explanation:

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3 years ago

A symbol used to name one or more parts of a whole or a set, or a location on a number line is a?

jeka94

Answer:

Fraction

Step-by-step explanation:

Fraction is a symbol that represents a part of a whole. It consists of a numerator and a denominator. The numerator is the number above the fraction bar (also known as "Vinculum), while the denominator is the number below the fraction bar. The denominator is the total number of equal parts in a whole.

Examples of Fraction: $\frac{1}{2}$ , $\frac{2}{7}$ and $\frac{5}{8}$ .

In the first example, $\frac{1}{2}$ , 1 is the numerator, while 2, is the denominator.

Additional Information

When the numerator is smaller than the denominator, the fraction is called "proper fraction." On the contrary, when the numerator is bigger than the denominator, the fraction is called "improper fraction."

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2 years ago