Question

Write the linear equation that gives the rule for this table.

X
0
1
2
3

Y
0
12
24
36

Write your answer as an equation with y first, followed by an equals
Save answer

Answer 1

The linear equation representing the relationship between x and y in the table is y = 12x, where the slope is 12 and the y-intercept is 0.

Step-by-step explanation:

To write the linear equation that represents the relationship between the values of x and y in the given table, we need to determine the slope (rate of change) and the y-intercept (the value of y when x is 0). From the table, we can see that every time x increases by 1, y increases by 12. This indicates that the slope (m) is 12. Additionally, when x is 0, y is also 0, which suggests that the y-intercept (b) is 0.

Thus, the linear equation can be written in the form y = mx + b. Substituting our values for m and b into this equation gives us y = 12x + 0, which simplifies to y = 12x.

To summarize, the student can enter their data into a calculator or computer and find that the linear equation, rounded to four decimal places, precisely matches our derived equation.