Answer:
Step-by-step explanation:
Given the equations:
![\begin{gathered} 8x-2y=4 \\ \\ x+4y=-12 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/rekn3xqf3wcs7k0i8u9lm1yknjf9ro80tg.png)
We are required to determine if the equations are parallel of perpendicular.
We need to rewrite both equations in the form:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
Where m is the slope and b is the y-intercept.
If the slopes of both equations are the same, and the y-intercepts are different, then the lines are parallel.