Suppose y varies at a constant rate of change of 0.5 with respect to x (so that Δ y = 0.5 ⋅ Δ x ), and y = 1.5 when x = 3 .

Answer and explanation:

Given the above, we find y in terms x

change in y change in x = 0.5

The formula for a straight line is y= mx+b where m is slope of the line and b is the y intercept

We substitute given values above in the straight line equation:

y=mx+b

1.5= 0.5×3+b

1.5=1.5+b

b= 0

y in terms of x for the line is therefore given by the formula :

y=0.5x+0