The form of the linear equation is
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
y must have power 1 and also x mast have power 1
Let us check each answer
![A)3x+2y=8](https://img.qammunity.org/2023/formulas/mathematics/college/g62w4tt0hc4vekd1ldtabjfgerxiqswqhb.png)
Since x and y have the power of 1, then
The graph of it is a line
![B)y=(x)/(2)-5](https://img.qammunity.org/2023/formulas/mathematics/college/k8e19zsg7hdp99tph1mi1mx4ac9ejm5v2y.png)
Since x and y have the power of 1, then
The graph of it is a line
![C)x=4y](https://img.qammunity.org/2023/formulas/mathematics/college/g18eqy1tj2x14rriktj4qwvztoazpxzt6p.png)
Since x and y have the power of 1, then
The graph of it is a line
![D)y=x^2+3](https://img.qammunity.org/2023/formulas/mathematics/college/voeb5x70s1gcf74sqra373jkpxjfyg5h2y.png)
Since x has a power of 2, then
The graph of it is not a line
The answer is D