Question

Use point-slope form to write the equation of a line that passes through the point(-7,9) with slope –1/5

Answer 1

The point-slope form of an equation of a line is:

$y-b=m(x-a)$

Where m is the slope and (a,b) is a point through which the line passes. Here we are told that the slope is -1/5 and the point through which the line passes is (-7,9). Then we must make the following replacements:

$\begin{gathered} m=-\frac{1}{5} \\ a=-7 \\ b=9 \end{gathered}$

Then, the equation of the line in point-slope form is:

$y-9=-\frac{1}{5}(x+7)$

And that is the answer to this question.