A line with slope m passing through (2,3) forms a triangle of area 12 with the coordinate axes. What are the possible values of m?
+130071 I could only find one value for m ......there may be others !!!
(1/2) bh =12
bh =24
In one case, the y intercept must be > 3
Note that if x= (4,0) and y = (0,6) we have
m = 6/-4 = -3/2
The equation of the line through (2,3) is
y= (-3/2) (x - 2) + 3
y = (-3/2)x + 3 + 3
y= (-3/2)x + 6
And the area of the triangle is (1/2) (6) (4) = 12
Maybe someone else can find other possible values for m (if any more exist)
