Question

What is the point-slope form of the line with slope

Answer 1

For this case we have that the point-slope form of a line is given by:

$(y-y_ {1}) = m (x-x_ {1})$

Where:

m: is the slope

$(x_ {1}, y_ {1})$ are the coordinates of a point through which the line passes.

In this case we have to:

$m = - \frac {1} {8}\\(x_ {1}, y_ {1}) = (-2, 1)$

Substituting we have:

$(y-1) = - \frac {1} {8} (x - (- 2))$

Simplifying: $- * - = +$

$(y-1) = - \frac {1} {8} (x + 2)$

Thus, the point-slope equation form of the line is:$(y-1) = - \frac {1} {8} (x + 2)$

Answer:

$(y-1) = - \frac {1} {8} (x + 2)$