Question

The equation of a line with gradient m is y=m(x-2)+3. If m<0 such that the line meets the positive axis at A and y-axis at B,(a)find the coordinates of A and B.
(b)the values of m for which the area enclosed by this line and the axes in 16 units.

Answer 1

I did part (a).
A=(2m-3)/m and 0.
B=0 and 3-2m.
I need help with part (b)

Answer 2

y = m(x-2) + 3
= mx + (3 - 2m)
------------------
y - mx = (3-2m)
y x
-- + ------- = 1
(3 - 2m) (3 - 2m)/(-m)
---------------------------
A = (2m-3)/m and B=3-2m
------------------------
1/2*A*B = 16
--------------
find the value of m

Answer 3

Thank you so much! ^_^

Answer 4

yw