Which equation could have been used to create this table?
2 answers:
Answer:
y = 3x
Step-by-step explanation:
(1,3) (2,6)
The first step is to find the rate of change ( or slope)
m = (y2-y1)/(x2-x1)
m = (6-3)/(2-1)
m = 3/1
m = 3
Then we need to use the point slope form of the equation of a line
y-y1 = m(x-x1)
y-3 = 3(x-1)
Distribute the 3
y-3 = 3x-3
Add 3 to each side
y-3+3 = 3x-3+3
y = 3x
The slope-intercept form:

m - slope
b - y-intercept
The formula of a slope:

We have the points (1, 3) and (2, 6). Substitute:

Therefore we have:

Put the coordinates of the point (1, 3) to the equation and calculate a value of b:

<em>subtract 3 from both sides</em>

<h3>Answer: y = 3x + 0 = 3x</h3>
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