Answer:
y = 3x -1
Explanation:
You want the equation of the line through the points (0, -1) and (1, 2), among others.
Y-intercept
The y-value when x=0 is the y-intercept. The table shows you it is -1.
Slope
The slope is the difference in y-values when x-values increase by 1. For the first two points in the table, the y-value shows an increase of ...
2 -(-1) = 3
This means the slope is 3.
Slope-intercept equation
The slope-intercept equation of a line is ...
y = mx +b . . . . . . . where m is the slope, and b is the y-intercept
For your line, we have determined m=3, b=-1, so the equation is ...
y = 3x -1