to put it simply, the intercept of x is the value of x when y=0, and the intercept of y is the value of y when x=0.

the intercept is the distance from the intersection of the straight line and the coordinate axis to the origin.

the x-intercept is a, the y-intercept is b, and the intercept formula is:

x/a+y/b=1 (a≠0 and b≠0)

note: the slope cannot exist or be equal to 0,

because when the slope does not exist, the straight line is perpendicular to the x-axis, b=0,

when the slope is equal to 0, the straight line is parallel to the x-axis, a=0.