It can bee seen easily that given line is intersecting x axis at ( 1,0) and it is intersecting y axis at (0,1)
so this line is passing through two points ( 0,1) and ( 1,0)
let us try finding the slope of this line
we know when a line passes through ( x1,y1) and ( x2, y2) the slope is :
( y2- y1) divde by ( x2-x1)
here x1 = 1 y1 = 0 and x2 = 0 y2 = 1
the slope is : m = ( 1-0) divde by ( 0-1) = 1 divide by -1 = -1
the y intercept is : b = ( where it intersect y axis ) so b=1
Equation of the line whose slope is m and y intercept is b :
Y= mx+ b
let us plug the values o f m and b
Y= -1x + 1
Or we can write it : y = -x + 1 this is the required equation of line in slope intercept form .