Which equation can be used to calculate the output values in the table

Question

Answer 1

Take any 2 pairs and calculate a slope: chg in y/chg in x or Δy/Δx.(rise/run).

How about (3,10) and (5,16) for example. Δy/Δx = (16 - 10)/(5 - 3) = 6/2 = 3. That's the "m" in y = mx + b, the slope-intercept equation for a straight line. Now need to find "b" (the y-intercept). Use any of the ordered pairs, say (2,7) and substitute in the equation.

7 = 3(2) + b → b = 7 - 6 = 1, so the equation is y = 3x + 1

Answer 2

Looking for a pattern, we see that y = 3x + 1