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astraxan [27]
1 year ago
10

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −3x+5y=−15? Drag and drop each choice in

to the boxes to correctly complete the table.
Mathematics
1 answer:
nexus9112 [7]1 year ago
5 0

The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.

<h3>How can the slope of the line be calculate?</h3>

The slope of the line  is been given as −3x+5y=−15

Then y= \frac{3}{5x} -3, hence the slope is \frac{3}{5}

  • Slope of the first line 5x + 3y = 15 after calculation is

the slope is y= \frac{5}{-3x} +5\\\\\frac{5}{-3}

this means that the line is perpendicular to the given line

  • Slope of the second line  3x + 5y = 15 after calculation is

y= \frac{3}{-5x} +15\\\\\frac{3}{-5}

This means that the line is not perpendicular and not parallel

  • Slope of the Third line  -3x + 5y = 15 can be calculated as

y= \frac{3}{5x} +15\\\\\frac{3}{5}

This means that the line is parallel to the above line.

  • Slope of the first line  3x + 5y = 15 after calculation is

y= \frac{-3}{5x} +3\\\\\frac{-3}{5}

This means that the line is not parallel or perpendicular to the line

Learn more about slope of  line at:

brainly.com/question/3493733

#SPJ1

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Thats the answer i hope i was helpful!

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