Question

Which equation is the equation of a line that is perpendicular to x + 2y = 16?

Answer 1

Answer:

For the equation given:

$x + 2y = 16 \\ 2y = - x + 16 \\ y = - \frac{1}{2} x + 8$

for perpendicular lines, the relationship between their slopes is given by:

$m _{1} \times m _{2} = - 1$

m1 is slope for one line, and m2 is slope for another line.

$- \frac{1}{2} \times m_{2} = - 1 \\ \\ m_{2} = - 1 \times - 2 \\ { \underline{ \: \: m_{2} = 2 \: \: }}$

Therefore, equation is;

${ \boxed{ \boxed{y = 2x - 2}}}$