Points: (-6, -2) and (-3, -7)
Slope: (-2--7)/(-6--3) = -5/3
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With a slope of 2/3, the slope-intercept form of the equation is: y = (2/3)x + b where b is the y-intercept. If it passes through the point (-5, 9) -- I assume that's what you meant in the question -- then you substitute x=-5 and y=9: 9 = (2/3)(-5) + b and solve for b: 9 = -10/3 + b b = 9 + 10/3 = 27/3 + 10/3 = 37/3 So now you have y = (2/3)x + 37/3 Multiply both sides by 3: 3y = 2x + 37 Rearrange: 2x - 3y + 37 = 0 which is standard form ax + by + c = 0
1 and 37, 37 is prime.
37/5 : 6*37/6 = 37/5 : 37 = 1/5 : 1 = 1 : 5
37 is a prime number, so the only factors that multiply to get it are 1 and 37.
The three numbers are coprime so their LCM = 17*27*37 = 16983