Question

20 points!!!!!PLEASE EXPLAIN HOW TO DO THIS EXPLAIN

Complete the equation for the linear function whose graph contains the points
(2, 5) and (3, 0).

y −______= ________(x − 2)

Answer 1

Y- (5+0)= 2+3(x-2)                          
Y-5=6(x-2)                                         
y-5=6x-2
  +5     +5
y=6x+7  
    6x+7=x-2
     -x  -7 -x -7
       5x=9
9/5
the answer is 1.8
                                               

Answer 2

point slope form
y-y1=m(x-x1)
where the point is (x1,y1) and the slope is m

the slope between the points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(2,5) and (3,0)
slopoe=(0-5)/(3-2)=-5/1=-5
m=-5

we see we are given
y-__=__(x-2)
x1=2
the point used was (2,5)
therefor
y1=5
m=-5

y-5=-5(x-2)