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

Guest Dec 22, 2021

#3**+3 **

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

Melody Dec 22, 2021