Coordinates

 

A line goes through (2, 3) and (−8,2). The line has an x-intercept of P and a y-intercept of Q. Find the area of triangle OPQ

 

First I would find the equation of the line.

I think it is easiest to do this by introducing the  general point (x,y)  and then saying  gradient = gradient

 

\(\frac{y-3}{x-2}=\frac{2-3}{-8-2}\)

 

now simplify that.

 

Then find the x and y intercepts

 

Then use the area of a triangle formula