Find the equation of the line through the pair of points (1/2,1/8) and (-1/7,1/9)in standard form using only integers.

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19-01-2018
Mathematics

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Find the equation of the line through the pair of points (1/2,1/8) and (-1/7,1/9)in standard form using only integers.

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How do I begin with this question

stevekimaz stevekimaz · Answer 1 · 2018-01-20T03:54:02+01:00

The first thing that we need to do is find the slope (m). In order to find the slope we need two points. The first point is (x1,y1) and the second point is (x2,y2). The slope is m = (y2-y1)/(x2-x1) = (1/9 - 1/8)/(-1/7 - 1/2) = (8/72 - 9/72)/
(-2/14 - 7/14) = -(1/72)/(-9/14) = 1(14)/72(9) = 7/(36)(9) = 7/324 (Wow!)

Now we can use the point slope formula to make the equation:
y - 1/8 = (7/324)(x - 1/2) Point slope equation
y - 1/8 = (7/324)x - 7/648
y =(7/324)x - 7/648 + 81/648
y = (7/324)x +74/648
y = (7/324)x + 37/324 This is the slope intercept form
-(7/324)x + y = 37/324 This is the standard form