find the eqn of the line cutting off an intercept -2 from the y-axis and equally inclined to the axes. Share with your friends Share 9 Shipra D. answered this The equation of a line is given as y=mx+c .....(i)where m is the slope of the line and c is the y-interceptWe have, c=-2We know that, slope, m =tanθ, where θ is the angle of inclination with the axes⇒m=tan45° [Since, line is equally inclined to the axes]⇒m=1 [tan45°=1Substituting the values of m and c in (i), we gety=1x+-2=x-2Thus, the equation of the line is y=x-2. 6 View Full Answer