The coordinate set (0, 0), (2, 1), (4, 2), (6, 3) represents a straight line. Since the first point is (0, 0) the y-intercept is 0. Now, lets solve for the slope (we can use any of the four points to solve).
Slope formula: y2-y1/x2-x1
= 2-1/4-1
= 1/2
Now that we know what the slope is, we can write the equation of the line.
Slope intercept form: y = mx + b (m = slope and b = y-intercept)
y = 1/2x
Lets find the exponential equation for the line.
y = ab²
1 = ab²
1/a = ab²/a
1/a = b²
√1/a = √b²
√1/a = b
<em>A graph of the coordinates will be below.</em>
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Best of Luck!
Answer:
The value of b is -5
Step-by-step explanation:
Answer: 1. 57
2. 43
3. 20
4. 32
5. 16
Step-by-step explanation: am here to help
Our objective is to isolate n one side of the equation. The steps are as follows...
a=m-n
(Add n to both sides)
a+n=m-n+n
(The -n and +n cancel out, on the right side of the equation)
a+n=m
(Now subtract a from both sides)
a+n-a=m+a
(The +a and -a cancel out, on the right side of the equation)
n=m+a
3(2x + 4) = -6
6x + 12 = -6
6x = -6 - 12
6x = - 18
x = -18/6
x = -3