Hi Travina;
A linear equation is in either of the following formats...
Standard format...Ax+By=C, A>0
Slopeintercept...y=mx+b, m is the slope, b is yintercept, value of y when x=0.
Pointslope...(yy_{1})=m(xx_{1}), m is the slope, and one coordinate on the line must be inputted to complete the equation.
An expression, which is what you are presenting, has no equal sign. Henceforth, it cannot have linear qualities. Nonetheless, I will assume that the four expressions are actually equations which =y. Henceforth, we can apply the above.
a. square root of x
This can also be represented as x^{1/2}, y=x^{1/2}. This is not linear.
b.1/2
This is not an expression because there is no variable.
c. 3 + 0.5x
As y=3+0.5x, this is in slopeintercept format...y=0.5x+3, y=mx+b. Slope is 0.5. The yintercept is 3, corresponding to the point (0,3).
x + 7
As y=x+7, this is also in slopeintercept format...y=x+7, y=mx+b. Slope is 1. The yintercept is 7, corresponding to the point (0,7).
2/24/2014

Vivian L.