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My name is Ann [436]

3 years ago

9

Write the equation of the line going through the point (4,6) that is perpendicular to the lie 3x+6y=12

1 answer:

emmainna [20.7K]3 years ago

3 0

3x + 6y = 12
6y = - 3x + 12
y = - 1/2x + 2

Since your slope is - 1/2, we take the opposite reciprocal to find the perpendicular slope. Your perpendicular slope is 2.

y = 2x + b

Plug in the point to solve for b and get your final line.

6 = 2(4) + b
6 = 8 + b
6 - 8 = b
- 2 = b

y = 2x - 2 is your perpendicular line

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Find the slope of the line through the given points (4,-2),(-1,8)

nikklg [1K]

Answer:

$\displaystyle m=-2$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, -2)

Point (-1, 8)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

Substitute in points [Slope Formula]: $\displaystyle m=\frac{8+2}{-1-4}$
[Fraction] Add/Subtract: $\displaystyle m=\frac{10}{-5}$
[Fraction] Divide: $\displaystyle m=-2$ <em><u> </u></em>

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