Question

Use point-slope form to write the equation of a line that passes through the point(15, -7) with slope-1.

Answer 1

The point slope form for an equation of the line is:

$y-b=m(x-a)_{}$

Where m is the slope and (a,b) is a point through wich the line passes. We are being told that the slope must be -1 and the line must pass through (15,-7). Then we have:

$\begin{gathered} m=-1 \\ a=15 \\ b=-7 \end{gathered}$

This means that the equation of the line we are looking for is:

$y+7=-(x-15)$

And that is the answer to this question.