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