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VLD [36.1K]
3 years ago
7

Write an equation of the line that passes through the given point and is parallel

Mathematics
1 answer:
Semenov [28]3 years ago
3 0

So when an equation or set of equations are parallel, that means that the equations have the same slope.

for the given equation, it has a slope of 2.

so to find the equation of the other line, you substitute the coordinate and slope into the equation y=mx+b.

-2=2(3)+b

-2=6+b

-8=b

So your function that is parallel has a slope of 2 and a y intercept at -8 or (0,-8).

Then just substitute those values into the equation.

y=2x-8

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3 years ago
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I need some one to help me!! <br><br> Is (7, 0) a solution to the equation y = x − 7?
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Answer:

Yes

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Coordinates (x, y)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (7, 0)

Equation y = x - 7

<u>Step 2: Find</u>

  1. Substitute in point [Equation]:                                                                         0 = 7 - 7
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What is an equation of a line that passes through the point of (-8 2) and (-4,-3)
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Answer:

<h2>y = -5/4x -8</h2>

Step-by-step explanation:

(-8,2)=(x_1 ,y_1)\\(-4 ,-3) = (x_2 ,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-2}{x-(-8)}= \frac{-3-2}{-4-(-8)}\\  \\\frac{y-2}{x+8}= \frac{-5}{-4+8} \\ \\\\\frac{y-2}{x+8} = \frac{-5}{4}\\ \\Cross\:Multiply \\4(y-2) = -5(x+8)\\\\4y-8 =- 5x-40\\\\4y = -5x-40+8\\\\4y =- 5x-32\\\\\frac{4y}{4} = \frac{-5x}{4} + \frac{-32}{4} \\\\y = -\frac{5}{4}x-8

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3 years ago
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Answer:

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