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4 years ago

Find the equation of the line that is perpendicular to the line 4x+2y=1 and passes through the point (-4,3)

Mathematics

1 answer:

serious [3.7K]4 years ago

5 0

First find the slope of the given line:

4x +2y = 1

Subtract 4x from each side:

2y = -4x + 1

Divide both sides by 2:

y = -2x +1/2

The slope is -2.

Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.

The negative inverse of -2 is 1/2

Now using the point-slope form y - y1 = m(x-x1)

Use the inverse slope for m, and the given point(-4,3) to get:

y - 3 = 1/2(x+4)

Simplify:

y - 3 = x/2 +2

Add 3 to each side:

y = x/2 + 5

Reorder the terms to get y = 1/2x +5

The answer is D.

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noname [10]

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3 years ago

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Arada [10]

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3 years ago

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Fantom [35]

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3 years ago

Find the value of x. Round to the nearest tenth. Help please!!!

jasenka [17]

Answer:

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Step-by-step explanation:

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3 years ago

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What is the equation of this line in standard form

Yuri [45]

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3 years ago