Question

Determinar a equação da reta perpendicular a r: 2x - 3y + 5 = 0 e que passa pelo ponto P(5, 10).

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{2x - 3y + 5 = 0}$

$\mathsf{3y = 2x + 5}$

$\mathsf{y = \dfrac{2x}{3} + \dfrac{5}{3}}$

$\mathsf{m.m' = -1}$

$\mathsf{m.\dfrac{2}{3} = -1}$

$\mathsf{m = -\dfrac{3}{2}}$

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

$\mathsf{y - 10 = -\dfrac{3}{2}(x - 5)}$

$\mathsf{2y - 20 = -3x + 15}$

$\mathsf{2y = -3x + 35}$

$\boxed{\boxed{\mathsf{y = -\dfrac{3x}{2} + \dfrac{35}{2}}}}\leftarrow\textsf{equa{\c c}{\~a}o reduzida}$

$\boxed{\boxed{\mathsf{3x + 2y - 35 = 0}}}\leftarrow\textsf{equa{\c c}{\~a}o geral}$