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A yacht will be leaving from Port Destiny and traveling on a straight line to an island 20
miles east and 60 miles north of the port. Find an equation h(x) for the line representing the path of the yacht. Assume Port Destiny is at the point (0,0) on a coordinate axis, East is to the right on the
horizontal axis, West is to the left on the horizontal axis, North is up on the vertical axis, and South is down on
the vertical axis.
h(x) =

Sagot :

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Answer:

  h(x) = 3x

Step-by-step explanation:

You want the equation of a line between the points (0, 0) and (20, 60). The slope of that line is ...

  m = (y2 -y1)/(x2 -x1) = (60 -0)/(20 -0) = 60/20 = 3

The y-intercept is 0, so the slope-intercept equation of the line is ...

  h(x) = 3x

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