From the equation of a straight line which cuts an intercepts-2 units from Y-axis and being equally inclined to the axis.

Asked by AMIT | 3rd Feb, 2017, 08:43: PM

Expert Answer:

begin mathsize 16px style Given space that space the space line space is space equally space inclined space to space the space axes.
So comma space the space angle space with space the space straight X minus axis space can space be space either space 45 degree space or space 135 degree.
So comma space the space slope space of space the space line space is space either colon
tan 45 degree equals 1 space or space tan 135 degree equals negative 1
Using space the space slope minus intercept space form comma space the space equation space of space the space lines space would space be
straight y space equals space mx space plus space straight c space where space straight m space is space the space slope space of space the space lines
rightwards double arrow straight y equals left parenthesis 1 right parenthesis straight x minus 2 space or space straight y space equals space left parenthesis negative 1 right parenthesis straight x minus 2 space... left parenthesis Since space given space that space the space intercept space is space minus 2 space units space from space the space straight y minus axis right parenthesis
rightwards double arrow straight y equals straight x minus 2 space or space straight y equals negative straight x minus 2
rightwards double arrow The space equation space of space the space lines space are space straight x minus straight y minus 2 equals 0 space or space straight x plus straight y plus 2 equals 0 end style

Answered by Rebecca Fernandes | 3rd Feb, 2017, 10:38: PM