Answer:
2x + 3y = -13
Explanation:
We can first find the equation of the line in point-slope form. The slope of the line is given by
, which is (-5-(-3))/(1-(-2)), or -2/3. The equation for a line in point-slope form is
where
is the slope and
is a point on the line -- in this case, we may use (1, -5). Therefore, the equation for the line is y + 5 = -2/3 (x-1).
The question asks for the equation of the line in standard form -- which is
. We can get this by simplifying the equation above to get
.