Let
x------> the time in hours
y------> the distance in kilometers
we know that
The x-intercept is the value of x when the value of y is equal to zero
In this problem the x-intercept is about the point [tex](0.80,0)[/tex]
that means
The number of remaining hours it takes to walk to work is [tex]0.80[/tex] hours (about [tex]48[/tex] minutes
The y-intercept is the value of y when the value of x is equal to zero
In this problem the y-intercept is the point [tex](0,4)[/tex]
that means
The remaining distance from home to work after Michael starts walking is [tex]4[/tex] kilometers
therefore
the answer in the attached figure