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zepelin [54]
3 years ago
15

Which equation represents a line which is parallel to the line 6x - 5y = 5?

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
7 0

Answer:

y = 6/5x - 2

Step-by-step explanation:

First we need to put the equation given in slope intercept form, y = mx + b

6x - 5y = 5

Solve for y

6x - 5y = 5

Subtract 6x from both sides

-5y = -6x + 5

Divide both sides by -5

y = 6/5x - 1

Now we have the equation in slope intercept form

y = 6/5x - 1

We want to find the equation that would be parallel to it

Parallel lines have the same slope

The equation y = 6/5x - 1 has a slope of 6/5 so an equation that is parallel to it would also have a slope of 6/5

The only equation that has a slope of 6/5 is the top left one therefore that is the answer

Snowcat [4.5K]3 years ago
7 0

Answer:

y = 6/5x - 2

Step-by-step explanation:

Simplify the given equation:

6x-5y=5\\-5y=-6x+5\\y=\frac{6}{5}x-1

In order for another equation to be parallel, it must have the same slope. Therefore, y = 6/5x - 2 is the correct answer.

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What’s the equation of a line that passes through (-9,10) and y=3/2x - 3/2
Natalija [7]

Answer:

y = 3x/2 + 23 1/2

Or

y = 3x/2 + 47/2

Step-by-step explanation:

Find the slope

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Equation of a line

y = mx + c

m = 3/2

using a point slope form equation

Substitute the point into the equation

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y - y1 = m( x - x1)

x1 = -9

y1 = 10

y - 10 = 3/2( x - (-9)

y - 10 = 3/2( x + 9)

Open the bracket

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y = ( 3x + 27)/2 + 10

LCM = 2

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Separate to get the value of slope and intercept

y = 3x/2 + 47/2

y = 3x/2 + 23 1/2

The equation of the line is

y = 3x/2 + 23 1/2

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<u>Explanation:</u>

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