Answer:

Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

We already know m-value as we substitute it.

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

Finally, we know b-value. Then we substitute it in our equation.

Answer:
0.25 = 2^-2
The "^" means that -2 is an exponent on top of 2.
Answer:
(1,4),(2,12)
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The form is y = ab^x
12 = ab^2
4 = ab^1
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Divide the 1st by the 2nd to get:
3 = b
--------
Substitute that into the 2nd equation to solve for "a":
4 = a*3^1
a=(4/3)
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EQUATION:
y = (4/3)*2^x
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Step-by-step explanation: