9514 1404 393
Answer:
y = 3x +3
Explanation:
The slope of the line can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the first two sets of table values, this is ...
m = (9 -6)/(2 -1) = 3/1 = 3
You can find the point-slope equation using the form ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -6 = 3(x -1) . . . . . using the first point in the table
Solving for y gives ...
y = 3x -3 +6 . . . eliminate parentheses, add 6
y = 3x +3