write the point-slope form of the line that passes through (1,-5) and is parallel to a line with a slope of 1. include all your work in your final answer.

Answer: The point-slope form of the line that passes through (1,-5) and is parallel to a line with a slope of 1 is y + 5 = x – 1 Solution: The point slope form of the line that passes through the points [tex]\left(x_{1}, y_{1}\right)[/tex] and parallel to the line with slope “m” is given as  [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]  ---- equation 1Where “m” is the slope of the line. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that passes through the line.From question, given that slope “m” = 1  Given that the line passes through the points (1,-5). Hence we get [tex]x_{1}=1[/tex] and [tex]y_{1}=-5[/tex]By substituting the values in eqn 1, we get the point slope form of the line which is parallel to the line having slope 1 can be found out.y – (-5) = 1(x – 1) y + 5 = x – 1 hence the point slope form of given line is y + 5 = x – 1