Answer is y = 6x -4
Step by step
Coordinates from the table
( -1, -10)
(3, 14)
First find slope using slope formula
y2 - y1 over x2 - x1
14 - -10 over 3 - -1
24 over 4 or slope of 6
Now using point slope formula find your equation
y - y1 = m ( x - x1)
y - -10 = 6 ( x - -1)
Simplify
y + 10 = 6x + 6
Subtract 10 from both sides
y + 10 - 10 = 6x +6 - 10
Simplify
y = 6x -4
Check your work by graphing the equation and your original coordinates, if the points are on the line your equation is correct!