LOCUS VARIOUS FORMS OF LINES

LOCUS VARIOUS FORMS OF LINES
Slope form (or) Gradient form: 
The equation of the form y=mx where mR, is called slope form.
This type of lines always passes through the origin.

NOTE: (i) In y = mx, if m>0, the line passes through the origin and lies  entirely in 1^st  and  3^rd   quadrants
(ii)In y = mx, if m<0,the line passes through the origin and lies entirely 2^nd  and 3^rd  quadrants
iii)  
     
In y=mx, if the value of m(m>0) increases, then the line moves close to y-axis
(iv)
            
In y = mx,if the value of m  decreases the line moves close to y-axis
(v) In y = mx, m in the tangent of the angle made by the line with the x-axis in the positive direction.