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pentagon [3]
3 years ago
5

I need help with this one ASAP

Mathematics
1 answer:
lesantik [10]3 years ago
7 0

9514 1404 393

Answer:

  y +2 = -1/2(x -7)

Step-by-step explanation:

The line PQ has a rise of 6 units for a run of 3 units, so its slope is ...

  m = rise/run = 6/3 = 2

A line perpendicular to PQ will have a slope that is the opposite reciprocal of that, so ...

  -1/m = -1/2

We have the slope of the desired line, and a point it needs to pass through, so we can use the point-slope form of the equation of a line.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

An equation for the desired line is ...

  y +2 = -1/2(x -7)

__

This can be rearranged to other forms.

  y = -1/2x +3/2 . . . . . slope-intercept form

  x +2y = 3 . . . . . . . . . standard form

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