we know that
1) Alejandra correctly wrote the equation
[tex]y-3=\frac{1}{5} (x-10)[/tex]
in this equation
the slope is equal to
[tex]m=\frac{1}{5}[/tex]
and passes through the point [tex](10,3)[/tex]
2) The teacher then changed the line so it had a slope of
[tex]m=2[/tex]
and passes through the same point [tex](10,3)[/tex]
therefore
the equation of the new line is
[tex]y-3=2(x-10)[/tex]
the answer is
[tex]y-3=2(x-10)[/tex]
