9 Find a function formula whose graph is described below a T
(9) Find a function formula whose graph is described below:
(a) The line segment joining the points (-3, -2) and (6, 3)
(b) The bottom half of the circle x squared + y squared = 16
Solution
a)(x1,y1)=(-3 , -2),(x2,y2)=(6 , 3) equation of line in 2 point form is y-y1=[(y2-y1)/(x2-x1)]*(x-x1)
y-(-2)=[(3-(-2))/(6-(-3))]*(x-(-3))
y+2=[5/9]*(x+3)
9(y+2)=5(x+3)
9y+18 =5x+15
5x-9y=3
equation of line joining given points is 5x-9y=3
-------------------------------------------------------------
b)x2+y2=16
y2=16-x2
y=-(16-x2)
equation of function of bottom half of the given circle is y=-(16-x2)
