Neste vídeo [url=https://youtu.be/JPeZe5LpjN4]https://youtu.be/JPeZe5LpjN4[/url] deduzimos uma fórmula que calcula a distância entre a reta de equação[math]ax+by+c=0[/math]e a origem do plano cartesiano [math]P=(0,0).[/math] A partir da fórmula da distância entre reta e a origem deduzida, usamos um argumento muito útil de translação de eixos, que é uma mudança de coordenadas no plano cartesiano para deduzirmos uma fórmula para distância entre reta e ponto  qualquer, veja vídeo [url=https://youtu.be/W-9EQPmG_RM]https://youtu.be/W-9EQPmG_RM[/url][b] .[/b] Considere um ponto [math]Q=(x0,y0)[/math] e uma reta [math]s[/math]:[math]ax+by+c=0[/math] pertencente a um mesmo plano, a distância desses pontos poderá ser calculada através da fórmula:[br][br]

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Determine o valor numérico de k para que a distância de um ponto [math]P[/math],  de coordenadas [math]P=(2,k),[/math] situado no primeiro quadrante, a reta de equação[math]3x+4y−24=0[/math], seja igual a [math]18[/math] unidades.[br][br][br]