Question

) No plano XOY, qual é a inclinação da reta que passa pelos pontos A=(-5;3) e B= (-3;5)

Answer 1

$\mathrm{A(x_0;y_0)=A(-5;3)\ \ \bigg\|\ \ B(x;y)=B(-3,5)}\\\\ \mathrm{y=ax+b\ \ \bigg\|\ \ a=\dfrac{y-y_0}{x-x_0}=\dfrac{5-3}{-3-(-5)}=\dfrac{2}{-3+5}=\dfrac{2}{2}=1}\\\\ \mathrm{y=1.x+b\ \to\ y=x+b\ \to\ 5=-3+b\ \to\ b=5+3=8}\\\\ \mathrm{y=x+b\ \to\ \boxed{\mathbf{y=x+8}}}$