Answer:
(C)The lines are perpendicular
Explanation:
First, we make y the subject of the equation in 2x + 8y = 16.
[tex]\begin{gathered} 2x+8y=16 \\ 8y=-2x+16 \\ y=-\frac{2}{8}x+\frac{16}{8} \\ y=-\frac{1}{4}x+2 \end{gathered}[/tex]The slope of the line = -1/4
In the line y=4x+7, the slope of the line = 4
[tex]-\frac{1}{4}\times4=-1[/tex]Two lines are perpendicular if the product of their slopes = -1.
Therefore, the lines are perpendicular.
