Question

partir do gráfico, determine a função:​

Answer 1

$\large\boxed{\begin{array}{l}\rm a)~\rm A(0,3)~~B(2,0)\\\rm m=\dfrac{y_B-y_A}{x_B-x_A}\\\\\rm m=\dfrac{0-3}{2-0}=-\dfrac{3}{2}\\\\\rm y=y_0+m\cdot(x-x_0)\\\rm y=0-\dfrac{3}{2}(x-2)\\\\\rm y=-\dfrac{3}{2}x+3\end{array}}$

$\large\boxed{\begin{array}{l}\sf b)~\rm A(0,-2)~~B(6,0)\\\\\rm m=\dfrac{y_B-y_A}{x_B-x_A}\\\\\rm m=\dfrac{0-(-2)}{6-0}\\\\\rm m=\dfrac{2\div2}{6\div2}=\dfrac{1}{3}\\\\\rm y=y_0+m(x-x_0)\\\rm y=0+\dfrac{1}{3}(x-6)\\\\\rm y=\dfrac{1}{3}x-2\end{array}}$