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.

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 and parallel to the line with slope “m” is given as  

 ---- equation 1

Where “m” is the slope of the line. and 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 and

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

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