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Poin slope form of (-9,-31), and (-2,-17)

User Strive Sun
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1 Answer

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Answer:

x + 31 = 2(y + 9)

Explanation:

General equation of the point-slope form:

The general equation of the point-slope form is given by:

x - x1 = m(y - y1), where:

  • (x1, y1) are any point on a line,
  • and m is the slope.

Finding the slope:

Given two points on a line, we can find the line's slope using the slope formula, which is given by:

m = (y2 - y1) / (x2 - x1), where:

  • (x1, y1) is one point on the line,
  • and (x2, y2) is another point on the line.

Thus, we can find the slope of the line by substituting (-9, -31) for (x1, y1) and (-2, -17) for (x2, y2) in the slope formula:

m = [-17 - (-31)] / [-2 - (-9)]

m = (-17 + 31) / (-2 + 9)

m = 14/7

m = 2

Thus, the slope of the line is 2.

Finding the equation of the line in point-slope form:

Now, we can find the equation of the line in point-slope form by substituting (-9, -31) for (x1, y1) and 2 for m in the general equation of the point-slope form:

x - (-31) = 2(y - (-9))

x + 31 = 2(y + 9)

Therefore, x + 31 = 2(y + 9) is the equation of the line in point-slope form, where (-9, -31) and (-2, -17) both lie on the line.

User LakiGeri
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