To determine which of the following tables can be generated from the equation y= 2x + 1, we need to look for the pattern in the equation.
The equation y= 2x + 1 represents a linear relationship, where the value of y depends on the value of x. The coefficient of x is 2, which means that for every increase in x by 1, the value of y increases by 2. Additionally, the constant term 1 represents the y-intercept, which is the value of y when x=0.
Let's look at the options:
Table 1:
x | y
0 | 1
1 | 4
2 | 7
3 | 10
From the equation y= 2x + 1, we can see that when x=0, y=1. However, in Table 1, when x=1, y=4, which doesn't match the equation. Therefore, Table 1 cannot be generated from the equation y= 2x + 1.
Table 2:
x | y
1 | 3
2 | 5
3 | 7
4 | 9
From the equation y= 2x + 1, we can see that when x=0, y=1. However, in Table 2, there is no value for y when x=0. Therefore, Table 2 cannot be generated from the equation y= 2x + 1.
Table 3:
x | y
-2 | -3
-1 | -1
0 | 1
1 | 3
From the equation y= 2x + 1, we can see that when x=0, y=1. In Table 3, when x=0, y=1, which matches the equation. Therefore, Table 3 can be generated from the equation y= 2x + 1.
Based on this analysis, Table 3 can be generated from the equation y= 2x + 1.
which of the following tables can be generated from the equation y= 2x + 1?
1 answer