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In the standard (x, y) coordinate plane, if the x-coordinate of each point on a line is 5 more than half the y-coordinate, what is the slope of the line?
  • a)
    −5
  • b)
  • c)
    1/2
  • d)
    2
  • e)
    5
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the standard (x, y) coordinate plane, if the x-coordinate of each p...
The correct answer is D. If the x-coordinate of each point on a line is 5 more than half the y-coordinate, then x = y 2 + 5. To find the slope of the line, solve for y and put the equation in slope intercept form (y = mx + b, where m is the slope). To do so, first subtract 5 from both sides, then multiply the entire equation by 2 to get y = 2x − 10. The slope is 2
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