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(3, 2)
Assuming the point is (3, -6) and the slope 1, the equation is x - y - 9 = 0
slope = change_in_y / change_in_x → change_in_y = slope × change_in_x The first point with a whole number for the x-coordinate above (2, 1) will have an x-coordinate of 3 = 2 + 1 → change_in_x = 1 → change_in_y = 3×1 = 3 → new y = 1 + 3 = 4 → The first point above (2, 1) with whole number coordinates on the given line is (3, 4).
I assume that is a straight line between point (0, 0) and point (3, 1): The equation of any line is given by: y - yo = m(x - xo) where m is the gradient given by: m = (y1 - yo)/(x1 - x0) Thus, line is: y - 0 = (1 - 0)/(3 - 0)(x - 0) ⇒ y = 1/3 x or 3y = x
Assuming that the point is located at (1,1) then the equation is: y = -3x + 4 We know this by multiplying the slope by the x of the point given, and finding the difference between this value, and the y value of the point. 1 - (-3) is 4, hence the +4 in our equation.