The equation of the line found is:
[tex]y = 3x + 1[/tex]
----------------------------------
Since the rate of change is always the same, that is, when x changes by 1, y always changed by the same value, this is a linear equation.
Linear equation:
The equation of a line is given by:
[tex]y = mx + b[/tex]
In which:
- m is the slope, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
----------------------------------
- From the table, when [tex]x = 0, y = 1[/tex], thus [tex]b = 1[/tex].
- When [tex]x = 0, y = 1[/tex]. When [tex]x = 1, y = 4[/tex], when [tex]x = 2, y = 7[/tex], and so on. That is, when x changes by 1, y changes by 3, and the slope is [tex]m = 3[/tex].
The equation of the line is:
[tex]y = 3x + 1[/tex]
A similar problem is given at https://brainly.com/question/13318516
