To solve this problem, we'll need to look at the pattern of numbers in the table. As we increase the value of X by 1, the value of Y goes up by 3 each time. This means there is a linear relationship between X and Y, and we can represent it with an equation in slope-intercept form:
y = mx + b
where m is the slope of the line and b is the y-intercept. We can use the values from the table to solve for these variables:
m = (change in y) / (change in x) = (7 - (-2)) / (2 - (-1)) = 9 / 3 = 3
b = y intercept = the value of Y when X is 0. From the table, we see that Y = 1 when X = 0.
Now that we have m and b, we can write the equation:
y = 3x + 1
So the answer is O) y= 3x +1
3. What is the rules function shown in the table? (1 point)
X -1 0 1 2
Y -2 1 4 7
O y= 1/3x + 1
O y= 3x +1
O y= 1/2x
O y= 1/2 x +1
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