Question

Which line is parallel to y = -2x + 11 and passes through (-6,4)?

Answer 1

Hello,

$f(x) = ax + b \: \Leftrightarrow f(x) = - 2x + b$

We have :

$- 2 \times ( - 6) + b = 4$

$\Leftrightarrow \: 12 + b = 4$

$\Leftrightarrow \: b = 4 - 12$

$\Leftrightarrow \: b \: = - 8$

$f(x) = - 2x - 8$