Find the equation

Question

Find the equation of line m which passes through (1, -2) in general (standard) form.

Answer 1

a line with slope = m that passes through the point (1,-2)

is

(y-(-2))/(x-1) or

(y+2)/(x-1) = m that's in standard point slope form

y+2 = m(x-1) = mx - m

y = mx -m-2 where m= the slope and -m-2 = the y intercept

that's standard slope intercept form

or in ax+by + c standard form

it's mx - y -m-c = 0 where a=m b=-1 and c =-m-c

to get a more specific equation you need to either know the slope or know another point on the line.

with just one point, there're an infinite number of possible lines through that point