Answer:
The equation is y = 4x + 5
Explanation:
To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).
m(slope) = (y2 - y1)/(x2 - x1)
m = (37 - 21)(8 - 4)
m = 16/4
m = 4
Now we can use that slope along with any point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 21 = 4(x - 4)
y - 21 = 4x - 16
y = 4x + 5