If the slope m is given at a point (xo, yo) of a line, then the equation of the line is given by:
y - yo = m(x - xo)
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That will depend on the value of the slope which has not been given.
The straight line equation is: y = mx+c whereas m is the slope and c is the y intercept
Given a point P = (a,b) and slope m, the equation of a line through P with slope m is (y-b) = m(x-a)
Assuming the point is (3, -6) and the slope 1, the equation is x - y - 9 = 0
Given a point P(a,b) and slope m, the point slope equation is (y - b)/(x - a) = m