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FrozenT [24]
3 years ago
11

Help solve this please

Mathematics
1 answer:
ad-work [718]3 years ago
7 0

Answer:

a) 2

b) -\frac{1}{2}

c) y = 2x + 1

Step-by-step explanation:

a)

First put the equation into slope intersept form (y=mx+b) by...

  • Move the variable to the right-hand side and change its sign : -y = -4 -2x
  • Change the signs on both sides of the equation: y = 4 + 2x
  • Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4

Parallel lines have the same slope so.... a parallel slope is 2

b)

First put the equation into slope intersept form (y=mx+b) by...

  • Move the variable to the right-hand side and change its sign : -y = -4 -2x
  • Change the signs on both sides of the equation: y = 4 + 2x
  • Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4

To find a perpendicular slope flip the slope and change the sign : -\frac{1}{2}

c)

First put the equation into slope intersept form (y=mx+b) by...

  • Move the variable to the right-hand side and change its sign : -y = -4 -2x
  • Change the signs on both sides of the equation: y = 4 + 2x
  • Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4, parellel slope : 2

  • Substitute the x and y values with the given ordered pair: 3 = 2(1) + b
  • Calculate the product: 3 = 2 + b
  • Move the variable to the left-hand side and change its sign: -x = 2 - 3
  • Calculate the difference and change the signs : b = 1

Use the slope and y-intersept (b) to write the new line : y = 2x + 4

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Answer:

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Step-by-step explanation:

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Solution:

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What is the equation of the line that is parallel to 8x-5y=2 and goes through the point (-5,-2)
Stella [2.4K]

Answer:

8x - 5y = - 30

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 8x - 5y = 2 into this form

Subtract 8x from both sides

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y = \frac{8}{5} x - \frac{2}{5} ← in slope- intercept form

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• Parallel lines have equal slopes, hence

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Multiply through by 5

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Step-by-step explanation:

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