We are given the following two points
![(-3,2)\: \text{and}\: (1,2)](https://img.qammunity.org/2023/formulas/mathematics/college/7pqqr8xacrwr8aoz7ep8w90tbbmskz84lp.png)
Let us find the slope of the line that passes through these points
The slope of a line is given by
![m=(y_2−y_1)/( x_2−x_1)](https://img.qammunity.org/2023/formulas/mathematics/college/o91vd3tblqwe697an5j3njq2uev1474xhr.png)
![\text{where}\: (x_1,y_1)=(-3,2)\: \text{and}\: (x_2,y_2)=(1,2)](https://img.qammunity.org/2023/formulas/mathematics/college/wsi5f8r9be0bib2qym482h39hsl095ofoe.png)
Let us substitute the given points into the above slope formula
![m=(2-2)/(1-(-3))=(0)/(1+3)=0](https://img.qammunity.org/2023/formulas/mathematics/college/140iq0pcui9pyay9dlfeyac6ihai70gji4.png)
Therefore, the slope of this line is 0.
This means that it is a horizontal line.