Question

Standart form is: Ax+By=C in this form (A,B) is the perpendicular vector to the line. to find it first find the direction vector of the line: (-2-3,-4-6)=(-5,-10) which is same direction as (-1,-2) which is more simple, :). Now find perpendicular vector to it . (2,-1) will do. Put the coordinates of the point (3,6) and this perpedicular vector into Ax+By=C: 2(x-3)-1(y-6)=0 reorganizing a bit: 2x-y=0 is the equation in standart form. Slope-intercept form: y=mx+b, where m is the slope and b y-intercept. to find m take the ratio of the direction vector. -2/-1=2 put coordinates of the point: y-6=2