As given in the question, the expression is:
y = mx + b.............(equation 1)
Considering the first two rows in the table:
First row: x = 0 when y = 3
Substitute these values into equation(1)
3 = 0(m) + b
3 = 0 + b
b = 3
Second row: x = 2 when y = 11
Substitute these also values into equation(1)
11 = 2m + b
Since b = 3
11 = 2m + 3
11 - 3 = 2m
8 = 2m
Divide both sides by 2
8/2 = 2m/2
4 = m
m = 4
Substitute the values of m and b ( i.e. m = 4 and b = 3) into equation (1)
y = 4x + 3