Question

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 1

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 $\left(x_{1}, y_{1}\right)$ and parallel to the line with slope “m” is given as  

$y-y_{1}=m\left(x-x_{1}\right)$  ---- equation 1

Where “m” is the slope of the line. $x_{1}$ and $y_{1}$ 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 $x_{1}=1$ and $y_{1}=-5$

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