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What is the equation of the line that passes through the point (5, 3) and has a slope of 3/5?

1 Answer

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Answer:

  • y -3 = 3/5(x -5) . . . . point-slope form
  • y = 3/5x . . . . . . slope-intercept form

Explanation:

You want the equation of the line with slope 3/5 that passes through point (5, 3).

Point-slope form

The point-slope form of the equation of a line with slope m through point (h, k) is ...

y -k = m(x -h)

You have m=3/5, (h, k) = (5, 3), so your equation is ...

y -3 = 3/5(x -5) . . . . point-slope form of desired equation

Slope-intercept form

This can be simplified to ...

y -3 = 3/5x -3

y = 3/5x . . . . . . . add 3

User Rahul Vijay Dawda
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