what is the equation in point-slope form of the line that passes through the point (1,-2) and has a slope of 3?

point slope form
y-y1 = m (x-x1)
y- (-2) = 3(x-1)
y+2 = 3(x-1)
y + 2 = 3(x - 1)
the equation of a line in point-slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = 3 and (a, b) = (1, - 2), hence
y + 2 = 3(x- 1) ← in point-slope form