Question

Write an equation of the line passing through point P(3,8) that is parallel to the line y= 1/5(x+4).

Answer 1

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Answer:

  y -8 = 1/5(x -3)

Step-by-step explanation:

The point-slope form of the equation of a line is ...

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

The given equation y = 1/5(x +4) matches this form with m=1/5. The parallel line will have the same slope.

This means you want a line through point (3, 8) with slope 1/5. Putting these values in the point-slope form gives ...

  y -8 = 1/5(x -3)