Question

Find the equation of the linear function represented by the table below in slope-intercept form.

X: Y:
1 6
2 9
3 12
4 15

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the linear function represented by the table, we need to find the slope and y-intercept.

To find the slope, we can pick any two points from the table and use the formula:

slope = (change in y) / (change in x)

Let's choose the points (1, 6) and (4, 15):

slope = (15 - 6) / (4 - 1)
= 9 / 3
= 3

Now that we have the slope, we can find the y-intercept by substituting one of the points and the slope into the slope-intercept form of the equation:

y = mx + b

Using the point (1, 6):

6 = 3(1) + b
6 = 3 + b

Subtracting 3 from both sides:

3 = b

Therefore, the equation of the linear function represented by the table in slope-intercept form is:

y = 3x + 3