Question

Dᴇᴛᴇʀᴍɪɴᴇ ᴀ ʀᴇᴛᴀ ǫᴜᴇ ᴘᴀssᴀ ᴘᴇʟᴏs ᴘᴏɴᴛᴏs A=(0,-2) ᴇ B=(-4,0).​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{m = \dfrac{\Delta_Y}{\Delta_X} = \dfrac{y_B - y_A}{x_B - x_A} = \dfrac{0 - (-2)}{-4 - 0} = \dfrac{0 + 2}{-4} = \dfrac{2}{-4} = -\dfrac{1}{2}}$

$\mathsf{y - y_0 = m(x - x_0)}$

$\mathsf{y - 0 = -\dfrac{1}{2}(x - (-4))}$

$\mathsf{2y - 0 = -x - 4}$

$\boxed{\boxed{\mathsf{y = \dfrac{-x - 4}{2}}}}\leftarrow\textsf{equa{\c c}{\~a}o reduzida}$

$\boxed{\boxed{\mathsf{x + 2y + 4 = 0}}}\leftarrow\textsf{equa{\c c}{\~a}o geral}$