Question

I need some help with thsi

Answer 1

Answer:

$slope \ of \ y = 2x + 5 , m_{1} = 2\\\\Let \ the \ slope \ of \ the \ new \ line \ be \ m_{2} \\Since \ the \ lines \ are \ parallel \ m_{1} \cdot m_{2} = 1$

$That \ is \ 2 \cdot m_{2} = 1 => m_{2} = \frac{1}{2}$

Equation of line passing through (2, -4)

$y-(-4)= \frac{1}{2} (x - 2)$

$y+4 = \frac{1}{2} ( x - 2)\\\\2y + 8 = x - 2\\\\2y = x -10\\y = \frac{1}{2} x -5$