Given the image in the question, the equation for the slope-intercept is given by:
[tex]y=25.5-4.25t[/tex]
Where 4.25 is the slope,
25.5 is the intercept,
y is the distance and
t is the time.
To answer question b:
The image above shows the graph for the function in question a.
Question c: To get the x and y intercept, this can be derived from the graph.
[tex]\begin{gathered} x\text{ intercept = }6.375 \\ y\text{ intercept = 25.5} \end{gathered}[/tex]
Question d: To get how much longer it will take her, we do the solution below:
[tex]\begin{gathered} y=25.5-4.25t \\ 17=25.5-4.25t \\ 17-25.5=-4.25t \\ -8.5=-4.25t \\ t=\frac{-8.5}{-4.25} \\ t=2 \end{gathered}[/tex]
Hence, it will take her 2 hours to complete the walk.
