Question 3068: A line with a slope of 1/2 is drawn thru point P at (-2,,2). Moving from left to right, what is the next ordered pair of whole numbers on the line?
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How does one figure out this answer?
Answer by abhinav75(8)   (Show Source):
You can put this solution on YOUR website! The slope of the line is 1/2.
now, let us take the equation of the line as:
y = mx + c
now, m = 1/2
so, y = 1/2x + c
=> 2y = x + 2c
now, it passes through (-2,2)
2(2) = -2 + 2c
=> 4 = -2 + 2c
=> 2c = 6
=> c= 3
so, the equation is : y = 2x + 3
to find next ordered pair..
now, see that whenever x is a whole number, y wud be a whole number as well.
so, if we take x = 0, y =3.
so, the next pair wud be (0,3)
Please note that whole numbers start from 0.
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