Question

Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the slope of the line through the origin and the center.
https://wca.sooschools.com/media/g_geo_ccss_2016/9/groupi89.gif

1/r
1
r

Answer 1

slope is then going to be
\[\large\rm m=\frac{r-0}{r-0}=\frac r r=1\]