The straight line graph y=2x+k intersects the x-axis at pointA and y-axis at point B.Given that the length of AB is `sqrt(5)` units,find the values of k
The line y=2x+k , meet x axis at A, Thus coordinate of A is (-k/2,0).
meet y axis at B, Thus coordinate of B is (0,k).
distance beetween A and B =sqrt(5)
But by distance formula
squaring both side ,we have
Thus line is