Question 183992: The radius of a wheel is 6 inches. How many revolutions will it make if it is rolled a distance of 288[pi]inches?
Find the standard form of the equation of the line whose x-intercept is 4 and whose y-intercept is 2.
help please!
Answer by solver91311(24713)   (Show Source):
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If the radius of the wheel is 6 inches, then the circumference is  = 12\pi) . Every time the wheel rolls  inches, the wheel makes one revolution. So calculate:
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The x-intercept is the x-coordinate of the point where the line intersects the x-axis. All points on the x-axis have a y-coordinate of 0. Therefore, the ordered pair describing the point of intersection with the x-axis for an x-intercept of 4 is (4, 0).
Using a similar argument, the intersection point of the line with the y-axis is (0, 2).
Now that you have two points, (4,0) and (0,2), you can use the two-point form of the equation of a straight line to develop your equation:
)
Where ) and ) are the two given points. Just substitute the values:
)
Now all you have to do is a little arithmetic and rearranging according to the rules of algebra to put your equation into standard form which looks like:
Done properly, your A, B, and C should come out to be integers for this problem.
John
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