The answer is the last option: [tex]\frac{1}{2}[/tex]
Explanation:
1. You have that the equation of the line is:
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the intercept with the y-axis.
2. Therefore, you must find [tex]b[/tex].
3. Then, you must substitute the points given in the problem and the slope into the equation of the line and solve for [tex]b[/tex], as following:
[tex]y=mx+b\\-\frac{7}{2}=(-\frac{4}{7})(7)+b\\-\frac{7}{2}=-4+b\\b=\frac{1}{2}[/tex]
