Write the linear equation that gives the rule for this table.
X Y
4 0
5 1
6 2
7 3
The linear equation that gives the rule for this table is:
Y = X - 4
To find the linear equation that represents the given table, let's observe the relationship between the x-values and y-values. Notice that as the x-values increase by 1, the y-values also increase by 1.
Based on this pattern, we can determine that the equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Let's calculate the slope (m) using two points from the table:
m = (change in y-values) / (change in x-values)
= (1 - 0) / (5 - 4)
= 1 / 1
= 1
Now that we have the slope, we can find the y-intercept (b) by substituting the values of one point into the equation y = mx + b. Let's use the point (4, 0):
0 = 1(4) + b
0 = 4 + b
b = -4
Therefore, the linear equation that gives the rule for this table is y = x - 4.
To write the linear equation that gives the rule for this table, we need to find the pattern between the given values of x and y.
By observing the table, we can see that for each value of x, the corresponding value of y is always 1 less than x.
Therefore, we can write the equation as: y = x - 1