Answer:
Step-by-step explanation:
Find the difference between the 2 points.
For example, (8, 9) (5, 3).
Compare the difference between the x's, in this case 8 and 5. The difference is 3. Do the same with the y's, 9 and 3. The difference is 6.
To find the slope, it's y/x. The slope in this situation is 6/3. Simplify. The slope is 2.
To find the y-intercept, insert the slope and one of the 2 points in the beginning into y = mx + b & solve for b.
For example, if we use the ordered pair (5, 3) the equation would look like:
3 = 2(5) + b, Solve for b.
Multiply. 3 = 10 + b
Get b by itself by adding - 10 to both sides.
-7 = b
The y-intercept is -7. So, in this case, the equation is y = 2x - 7.
Answer:
y=3x
Step-by-step explanation:
The slope of this graph is 3.
Answer:
t = -24*log(2/3)
Step-by-step explanation:
The expression is:
V = 22,500*10^(-t/12)
Replacing with V = 10,000 and isolating t, we get:
10,000 = 22,500*10^(-t/12)
10,000/22,500 = 10^(-t/12)
4/9 = 10^(-t/12)
(2/3)² = 10^(-t/12)
2*log(2/3) = -t/12
-12*2*log(2/3) = t
t = -24*log(2/3)
