Find the slope first:
m=y2-y-1/x2-x1
m=2-10/-3-1
m= -8/-4
m= 2
Select a point & put into y=mx+b to find b.
y=mx +b
10 =2(1) + b
10 =2 +b
8 = b
Rewrite the equation with your slope &intercept:
y=2x + 8
That's ^ the equation that describes your line!
Let us assume the initial number of bacteria in the culture = xAfter 1 hour,The number of bacteria = 185x/100 = 1.85xAfter 2 hours,The number of bacteria = (185 * 1.85x)/100 = 3.42xSo3.42x = 12500x = 12500/3.42 = 3654.97 = 3655From the above deduction, we can conclude that the initial number of bacteria in the culture is 3655.
It is a similar triangle so the side length of the smaller triangle (x and x-2) are in the same ratio as the bigger triangle (2x+5 and 2x-1). As the ratio is the same, you can equate them and solve for x.
Answer:
Step-by-step explanation:
y-intercept is -4