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dybincka [34]
2 years ago
10

What is an equation of the line that passes through the point (-5,-3)(−5,−3) and is parallel to the line 3x+5y=15

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0

Answer:

  • y = -3/5x - 6 or 3x + 5y = -30

Step-by-step explanation:

<u>Given line:</u>

  • 3x + 5y = 15

<u>Converting into slope-intercept form:</u>

  • 3x + 5y = 15
  • 5y = - 3x + 15
  • y = -3/5x + 3

<u>Parallel lines have the same slope, so the parallel line will be:</u>

  • y = -3/5x + b

<u>Using given point (-5, -3) finding the y-intercept:</u>

  • -3 = -3/5(-5) + b
  • -3 = 3 + b
  • b = -3 - 3
  • b = -6

<u>So the line is:</u>

  • y = -3/5x - 6

<u>Or converted into standard form:</u>

  • y = - 3/5x - 6
  • 3/5x + y = -6
  • 3x + 5y = -30
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HELPP HELP. It’s about slope!!!! Explanation needed
OleMash [197]

Answer:

<em> x = -3</em>

Step-by-step explanation:

A line has equation: y = ax + b

This line has slope a = 1

This line passes (4, 1)

=> 1 = 4 + b

=> b = -3

=> The equation of this line : y = x - 3

This line passes another point (x, -6)

=> -6 = x - 3

=> x = -6 + 3

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Solve the system of equations.
Ksenya-84 [330]

Answer:

1) {y,x}={-3,-23}

2) {x,y}={7,-9/2}

Step-by-step explanation:

Required:

  • Solve systems of equations

1) y - x = 20, 2x - 15y = -1

Equations Simplified or Rearranged :

[1]    y - x = 20

  [2]    -15y + 2x = -1

Graphic Representation of the Equations :

x + y = 20        2x - 15y = -1  

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = x + 20

// Plug this in for variable  y  in equation [2]

  [2]    -15•(x +20) + 2x = -1

  [2]     - 13x = 299

// Solve equation [2] for the variable  x

[2]    13x = - 299

  [2]    x = - 23

// By now we know this much :

  y = x+20

   x = -23

// Use the  x  value to solve for  y

   y = (-23)+20 = -3

Solution :

{y,x} = {-3,-23}

2) 25-x=-4y,3x-2y=30

Equations Simplified or Rearranged :

  [1]    -x + 4y = -25

  [2]    3x - 2y = 30

Graphic Representation of the Equations :

   4y - x = -25        -2y + 3x = 30  

Solve by Substitution :

// Solve equation [1] for the variable  x

  [1]    x = 4y + 25

// Plug this in for variable  x  in equation [2]

 [2]    3•(4y+25) - 2y = 30

  [2]    10y = -45

// Solve equation [2] for the variable  y

  [2]    10y = - 45

  [2]    y = - 9/2

// By now we know this much :

  x = 4y+25

   y = -9/2

// Use the  y  value to solve for  x

  x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

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What is the standard form of y=-3
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Answer:

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Step-by-step explanation:

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1. 24
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3. 15
4. 60
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