Two points determine a line. In slope intercept form we have:
y = -2x + b
So:
-12 = -2(3) + b and [first equation]
k = -2(6) + b [second equation]
We have a system of simultaneous equations with two unknowns. The first is trivially easy to solve:
-12 = -6 + b [Evaluate -2(3)]
-6 = b [Add +6 to each side]
So we substitute this into the second equation:
k = -2(6) + -6 = -18
We could double check our work knowing that m=Δy/Δx
We expect m to be -2. Does:
-2 = (-18 - -12)/(6 - 3) = -6/3 = -2?
;)
The slope is going to be negative. Pick any two points from the graph and find the slope.
m= -3
pick any point on the line, I picked (0,4) and find "b"
y=mx+b
4=(-3)(0) +b
b= 4
y=-3x + 4
Answer:
At 2:00 there will be 38,400 bacteria.
Step-by-step explanation:
600/150 = 4
2400/600 = 4
So, the bacteria quadruples every half hour.
At 1:30, there will be 2400*4 = 9600.
At 2:00, there will be 9600*4= 38400
Answer:
x = -46.5
x + 1 = -45.5
Step-by-step explanation:
x + x + 1 = -92
2x + 1 = -92
-1 -1
------------------
2x = -93
---- ----
2 2
x = -46.5
x + 1
(-46.5) + 1
-45.5