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:
D) m=1/2
Step-by-step explanation:
Answer: 31/12, or 2 7/12
Step-by-step explanation: The answer is actually very simple. All you have to do is to simplify 10 1/3 into 31/3, as 10x3+1=31. Then, you have to multiply 31/3 with 1/4. Do a simple fraction multiplication, and you get 31/12, or 2 7/12 if your teacher is asking for a mixed number. Sometimes simplifying is better