Question

Find the equation of the line passing through the points (5,-5) and (-10,1)

Answer 1

The points are given (5,-5) and (-10,1) that passes through the line.

First determine the slope of the line, using the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$$m=\frac{1-(-5)}{-10-5}=\frac{6}{-15}=-\frac{2}{5}$

Then determine the equation of line.

$(y-y_1)=m(x-x_1)$$(y-(-5))=-\frac{2}{5}(x-5)$$y+5=-\frac{2}{5}(x-5)$$y=-\frac{2}{5}x+2-5$$y=-\frac{2}{5}x-3$

Hence the equation obtained is

$y=-\frac{2}{5}x-3$