Determine the equation of the line that passes through the points (10, 0) and (-1, 10)

To find the equation of the line passing through (10,0)
and (-1 ,10).

Solution:

Since
the line is passing through (10,0), the line makes an intercept of 10 on y axis. So the
equation is of the form :

y = mx+c where c is the intercept
= 10. So y = mx+10 . We determine m from the fact that (-1, 10) is a point on y = mx+10
and hence the coordinates (-1,10) should satisfy y =
mx+10:

-1 = m*10 +10.

-1 = 10m
+10. Or 10m = -1-10 = -11.

Therefore m =
-11/10.

So the equation y = mx+10 becomes y = -(11/10)x+10.
Or Multiplying by 10 we get:

10y =-11x+100.
Or

11x+10y -100 = 0