Answer :
Answer:
[tex]y-11=\frac{2}{3}(x-2)[/tex]Explanation:
Given the line
[tex]y-2=\frac{2}{3}\mleft(x-8\mright)[/tex]Comparing it to the point-slope form of a line:
[tex]y-y_1=m(x-x_1)[/tex]Slope = 2/3
Two lines are parallel if their slopes are equal.
Therefore, the equation of the line in the point-slope form that is parallel to the line and that goes through the point (2,11) is:
[tex]y-11=\frac{2}{3}(x-2)[/tex]