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

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b)x2+y2=16

y2=16-x2

y=-(16-x2)

equation of function of bottom half of the given circle is y=-(16-x2)

(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 squa

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