Answer:
The answer to your question is y= 3x - 4.
Step-by-step explanation:
Plot the points (1,-1) and (2,2) and get your slope, in the case of slope-intercept form "m" using the rise/run method. You rise 3 units and run one unit to the right to get from (1,-1) to (2,2), so your slope is 3/1 or just simply 3. -4 is your y-intercept, or "b", because if you plot the two aforementioned points (1,-1) and (2,2) and make a line with them, your line meets the y-axis at the point (0, -4). Hope this helps!
The distance between (-4,3,-6) and the origin is 
<h3>How to determine the distance?</h3>
The point is given as:
(x, y, z) = (-4,3,-6)
The origin is
(x, y, z) = (0,0,0)
The distance between the point and the origin is calculated as:

So, we have:

Evaluate

Hence, the distance between (-4,3,-6) and the origin is 
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Answer:
n/3 - 18
Step-by-step explanation:
"quotient of a number and 3" is n/3, and so
"18 less than the quotient of a number and 3" as an expression is:
n/3 - 18
Answer:

Step-by-step explanation:
Simple interest is where interest is only accumulated on the principle, so at 4.5% for 5 years, 22.5% is added to the principal.
Answer:
"To the nearest year, it would be about 9 years"
Step-by-step explanation:
11c)
This is compound growth problem. It goes by the formula:

Where
F is the future amount
P is the present (initial) amount
r is the rate of growth, in decimal
t is the time in years
Given,
P = 20,000
r = 8% = 8/100 = 0.08
F = double of initial amount = 2 * 20,000 = 40,000
We need to find t:

To solve exponentials, we can take Natural Log (Ln) of both sides:

Using the rule shown below we can simplify and solve:

We can write:

To the nearest year, that would be about 9 years